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Number

12,101

12,101 is a prime, odd.

Arithmetic Number Consecutive Digits Cousin Prime Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
5
Digit product
0
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
10,121
Recamán's sequence
a(22,582) = 12,101
Square (n²)
146,434,201
Cube (n³)
1,772,000,266,301
Divisor count
2
σ(n) — sum of divisors
12,102
φ(n) — Euler's totient
12,100

Primality

12,101 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 12101
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 12,101)
1 × 12101
First multiples
12,101 · 24,202 (double) · 36,303 · 48,404 · 60,505 · 72,606 · 84,707 · 96,808 · 108,909 · 121,010

Sums & aliquot sequence

As a sum of two squares: 1² + 110²
As consecutive integers: 6,050 + 6,051

Representations

In words
twelve thousand one hundred one
Ordinal
12101st
Binary
10111101000101
Octal
27505
Hexadecimal
0x2F45
Base64
L0U=
One's complement
53,434 (16-bit)
In other bases
ternary (3) 121121012
quaternary (4) 2331011
quinary (5) 341401
senary (6) 132005
septenary (7) 50165
nonary (9) 17535
undecimal (11) 9101
duodecimal (12) 7005
tridecimal (13) 567b
tetradecimal (14) 45a5
pentadecimal (15) 38bb

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓏺
Greek (Milesian)
͵ιβραʹ
Mayan (base 20)
𝋡·𝋪·𝋥·𝋡
Chinese
一萬二千一百零一
Chinese (financial)
壹萬貳仟壹佰零壹
In other modern scripts
Eastern Arabic ١٢١٠١ Devanagari १२१०१ Bengali ১২১০১ Tamil ௧௨௧௦௧ Thai ๑๒๑๐๑ Tibetan ༡༢༡༠༡ Khmer ១២១០១ Lao ໑໒໑໐໑ Burmese ၁၂၁၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 12,101 = 0
e — Euler's number (e)
Digit 12,101 = 1
φ — Golden ratio (φ)
Digit 12,101 = 1
√2 — Pythagoras's (√2)
Digit 12,101 = 7
ln 2 — Natural log of 2
Digit 12,101 = 7
γ — Euler-Mascheroni (γ)
Digit 12,101 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 12,097 (gap of 4)
  • Next prime: 12,107 (gap of 6)

Pair status: cousin with 12097, sexy with 12107.

Unicode codepoint
Kangxi Radical Square
U+2F45
Other symbol (So)

UTF-8 encoding: E2 BD 85 (3 bytes).

Hex color
#002F45
RGB(0, 47, 69)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.47.69.

Address
0.0.47.69
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.47.69

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

Position in π

The digit sequence 12101 first appears in π at position 63,992 of the decimal expansion (the 63,992ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.