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1,020,101

1,020,101 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.).

1,020,101 (one million twenty thousand one hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF90C5.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Happy Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
5
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
1,010,201
Square (n²)
1,040,606,050,201
Cube (n³)
1,061,523,272,416,090,301
Divisor count
2
σ(n) — sum of divisors
1,020,102
φ(n) — Euler's totient
1,020,100

Primality

1,020,101 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1020101
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,020,101)
1 × 1020101
First multiples
1,020,101 · 2,040,202 (double) · 3,060,303 · 4,080,404 · 5,100,505 · 6,120,606 · 7,140,707 · 8,160,808 · 9,180,909 · 10,201,010

Sums & aliquot sequence

As a sum of two squares: 1² + 1,010²
As consecutive integers: 510,050 + 510,051

Continued fraction of √n

√1,020,101 = [1010; (2020)]

Period length 1 — the block in parentheses repeats forever.

Representations

In words
one million twenty thousand one hundred one
Ordinal
1020101st
Binary
11111001000011000101
Octal
3710305
Hexadecimal
0xF90C5
Base64
D5DF
One's complement
4,293,947,194 (32-bit)
Scientific notation
1.020101 × 10⁶
As a duration
1,020,101 s = 11 days, 19 hours, 21 minutes, 41 seconds
In other bases
ternary (3) 1220211022112
quaternary (4) 3321003011
quinary (5) 230120401
senary (6) 33510405
septenary (7) 11446025
nonary (9) 1824275
undecimal (11) 637465
duodecimal (12) 412405
tridecimal (13) 299414
tetradecimal (14) 1c7a85
pentadecimal (15) 1523bb

As an angle

1,020,101° = 2,833 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓍢𓏺
Chinese
一百零二萬零一百零一
Chinese (financial)
壹佰零貳萬零壹佰零壹
In other modern scripts
Eastern Arabic ١٠٢٠١٠١ Devanagari १०२०१०१ Bengali ১০২০১০১ Tamil ௧௦௨௦௧௦௧ Thai ๑๐๒๐๑๐๑ Tibetan ༡༠༢༠༡༠༡ Khmer ១០២០១០១ Lao ໑໐໒໐໑໐໑ Burmese ၁၀၂၀၁၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F90C5
RGB(15, 144, 197)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.144.197.

Address
0.15.144.197
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.144.197

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 2, 0101 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0101-02-01 (DMMYYYY (Euro, single-digit day))
  • 0101-10-02 (MMDYYYY (US, single-digit day))
  • 0101-02-10 (DDMYYYY (Euro, single-digit month))
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 1,020,101 and was likely granted around 1911.

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.