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100102021221209 = 767243798754959
BaseRepresentation
bin10110110000101011010001…
…011010101000101101011001
3111010102122210222020112210012
4112300223101122220231121
5101110032414413034314
6552522122251331305
730041063255206040
oct2660532132505531
9433378728215705
10100102021221209
1129994035363727
12b288538450b35
1343b177061cc67
141aa0d6c493557
15b88d3b1ae93e
hex5b0ad16a8b59

100102021221209 has 16 divisors (see below), whose sum is σ = 116114583091200. Its totient is φ = 84517632985104.

The previous prime is 100102021221199. The next prime is 100102021221217. The reversal of 100102021221209 is 902122120201001.

It is a cyclic number.

It is not a de Polignac number, because 100102021221209 - 240 = 99002509593433 is a prime.

It is a super-2 number, since 2×1001020212212092 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100102021221239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7056272 + ... + 15811230.

It is an arithmetic number, because the mean of its divisors is an integer number (7257161443200).

Almost surely, 2100102021221209 is an apocalyptic number.

It is an amenable number.

100102021221209 is a deficient number, since it is larger than the sum of its proper divisors (16012561869991).

100102021221209 is an equidigital number, since it uses as much as digits as its factorization.

100102021221209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8779412.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 100102021221209 in words is "one hundred trillion, one hundred two billion, twenty-one million, two hundred twenty-one thousand, two hundred nine".

Divisors: 1 7 67 469 24379 170653 1633393 8754959 11433751 61284713 586582253 4106075771 213437145461 1494060018227 14300288745887 100102021221209