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102,121

102,121 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

102,121 (one hundred two thousand one hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x18EE9.

Arithmetic Number Centered Hexagonal Cuban Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
121,201
Square (n²)
10,428,698,641
Cube (n³)
1,064,989,133,917,561
Divisor count
2
σ(n) — sum of divisors
102,122
φ(n) — Euler's totient
102,120

Primality

102,121 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 102121
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 102,121)
1 × 102121
First multiples
102,121 · 204,242 (double) · 306,363 · 408,484 · 510,605 · 612,726 · 714,847 · 816,968 · 919,089 · 1,021,210

Sums & aliquot sequence

As a sum of two squares: 211² + 240²
As consecutive integers: 51,060 + 51,061

Continued fraction of √n

√102,121 = [319; (1, 1, 3, 2, 2, 1, 1, 1, 6, 37, 2, 4, 25, 2, 1, 11, 2, 1, 1, 2, 1, 2, 1, 2, …)]

Representations

In words
one hundred two thousand one hundred twenty-one
Ordinal
102121st
Binary
11000111011101001
Octal
307351
Hexadecimal
0x18EE9
Base64
AY7p
One's complement
4,294,865,174 (32-bit)
Scientific notation
1.02121 × 10⁵
As a duration
102,121 s = 1 day, 4 hours, 22 minutes, 1 second
In other bases
ternary (3) 12012002021
quaternary (4) 120323221
quinary (5) 11231441
senary (6) 2104441
septenary (7) 603505
nonary (9) 165067
undecimal (11) 6a7a8
duodecimal (12) 4b121
tridecimal (13) 37636
tetradecimal (14) 29305
pentadecimal (15) 203d1

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρβρκαʹ
Mayan (base 20)
𝋬·𝋯·𝋦·𝋡
Chinese
一十萬二千一百二十一
Chinese (financial)
壹拾萬貳仟壹佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٢١٢١ Devanagari १०२१२१ Bengali ১০২১২১ Tamil ௧௦௨௧௨௧ Thai ๑๐๒๑๒๑ Tibetan ༡༠༢༡༢༡ Khmer ១០២១២១ Lao ໑໐໒໑໒໑ Burmese ၁၀၂၁၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#018EE9
RGB(1, 142, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.142.233.

Address
0.1.142.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.142.233

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 102,121 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.