Recognised as Number
101,021
- Positive
- Odd
- Prime
- 6 digits
101,021 is an odd 6-digit integer and a prime number. It has 2 divisors and a digital root of 5.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value101,021
Digit count6
Digit sum5
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation101,021
Distinct prime factors1101,021
Number of divisors2
Sum of divisors σ(n)101,022
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)101,020integers below n that share no factor with it
Carmichael function λ(n)101,020the smallest exponent with aˣ ≡ 1 for every unit coprime to n
Möbius function μ(n)−11 distinct prime factor, an odd number of them
SquarefreeYesno repeated prime factor
All divisors1, 101,0212 in total
Arithmetic
Representations
Decimal101,021
Binary1100010101001110117 bits
Octal305235
Hexadecimal18A9D
Base 3625Y5
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone hundred and one thousand and twenty-one
Ordinalone hundred and one thousand and twenty-first
Scientific notation1.01021 × 10^5
Engineering notation101.021 × 10^3
In other bases
Ternary12010120112base 3; the most digit-efficient integer base after e: 11 digits
Quinary11213041base 5; one hand: 8 digits
Septenary600344base 7: 6 digits
Nonary163515base 9; each digit is two ternary digits: 6 digits
Duodecimal4a565base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimalccb1base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal28:3:41base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1TT011TT1TTTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1101001111111101101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000000011000101010011101
Bit length17 bitsto write the magnitude
Set bits9the population count, or Hamming weight
Zero bits8within that length
Bit parityodd9 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 16worth 65,536
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes301 8a 9d
Gray code10100111111010011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000000011000101010011101
64-bit0000000000000000000000000000000000000000000000011000101010011101
One's complement11111111111111100111010101100010at 32 bits, every bit flipped
Bits reversed10111001010100011000000000000000at 32 bits
Rotated left by 100000000000000110001010100111010at 32 bits, wrapping
Shifted left by 1110001010100111010= 202,042, no wrap
Shifted right by 11100010101001110= 50,510, discarding the low bit
These bits as a double4.99110056 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
101,021 to the power 210,205,242,441
101,021 to the power 31,030,943,796,632,261
101,021 to the power 4104,146,973,279,587,638,481
101,021 to the power 510,521,031,387,677,222,826,989,101
First ten multiples101,021, 202,042, 303,063, 404,084, 505,105, 606,126, 707,147, 808,168, 909,189, 1,010,210
Powers of twoBetween 2^16 (65,536) and 2^17 (131,072)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 5
Divisible by 7No, remainder 4
Divisible by 8No, remainder 5
Divisible by 9No, remainder 5
Divisible by 10No, remainder 1
Divisible by 11No, remainder 8
Divisible by 12No, remainder 5
Divisible by 100No, remainder 21
Collatz (3n + 1) trajectory
Steps to reach 197the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps101,021 → 303,064 → 151,532 → 75,766 → 37,883 → 113,650 → 56,825 → 170,476 → 85,238 → 42,619 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage10,102,100%
101,021% as a decimal1,010.21
101,021% of 100101,021
101,021% of 1,0001,010,210
As a fraction of 100101,021/100
Read another way
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Derived from 101,021
Also reads as
#101021 (colour)
- #101021
- Blue
- Dark
- Nearest: Black
#101021 is a blue with RGB values 16, 16, 33 and HSL 240°, 35%, 10%. It is a dark colour, so white text on it reaches 18.8:1 contrast (AAA for normal text). The nearest named colour is Black.
Colour values
#101021#101021
HEX#101021
RGBrgb(16, 16, 33)
RGB (0–1)0.0627, 0.0627, 0.1294
RGB percentages6.3%, 6.3%, 12.9%
HSLhsl(240, 34.7%, 9.6%)
HSV / HSBhsv(240, 51.5%, 12.9%)
CMYK51.5%, 51.5%, 0%, 87.1%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,052,705
CSS custom property--colour: #101021;
Brightness & contrast
Relative luminance0.00591WCAG 2.x, 0 is black and 1 is white
Perceived brightness18.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 18.78:1
Contrast with white18.78:1WCAG normal text: AAA
Contrast with black1.12:1WCAG normal text: Fail
Greyscale equivalent#111111
Inverted#EFEFDE
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text18.78:1WCAG large text: AAA
Contrast with black, large text1.12:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#212110
Analogous#101921, #191021
Triadic#211010, #102110
Split complementary#211910, #192110
Tetradic#211019, #212110, #102119
Tints, shades & saturation
Channel breakdown
R16
G16
B33
Red16 (6.3%)
Green16 (6.3%)
Blue33 (12.9%)
Hue240°
Saturation (HSL)34.69%
Lightness9.61%
Dominant channelBlue
Hex per channelR 10 · G 10 · B 21
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Harmonies
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