101,221
101,221 is a prime, odd.
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 7
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 122,101
- Recamán's sequence
- a(98,357) = 101,221
- Square (n²)
- 10,245,690,841
- Cube (n³)
- 1,037,079,072,616,861
- Divisor count
- 2
- σ(n) — sum of divisors
- 101,222
- φ(n) — Euler's totient
- 101,220
Primality
101,221 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√101,221 = [318; (6, 1, 1, 3, 1, 3, 1, 3, 3, 1, 4, 2, 2, 4, 1, 3, 3, 1, 3, 1, 3, 1, 1, 6, …)]
Period length 25 — the block in parentheses repeats forever.
Representations
- In words
- one hundred one thousand two hundred twenty-one
- Ordinal
- 101221st
- Binary
- 11000101101100101
- Octal
- 305545
- Hexadecimal
- 0x18B65
- Base64
- AYtl
- One's complement
- 4,294,866,074 (32-bit)
- Scientific notation
- 1.01221 × 10⁵
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓍢𓍢𓎆𓎆𓏺
- Greek (Milesian)
- ͵ρασκαʹ
- Mayan (base 20)
- 𝋬·𝋭·𝋡·𝋡
- Chinese
- 一十萬一千二百二十一
- Chinese (financial)
- 壹拾萬壹仟貳佰貳拾壹
Also seen as
UTF-8 encoding: F0 98 AD A5 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.139.101.
- Address
- 0.1.139.101
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.139.101
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 101,221 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 101221 first appears in π at position 603,736 of the decimal expansion (the 603,736ordinal-suffix:th 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.