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102222222212201 = 721325122547173
BaseRepresentation
bin10111001111100001110111…
…001111100011110001101001
3111101221100102102110102001112
4113033201313033203301221
5101344302102341242301
61001224123545000105
730350211650242100
oct2717416717436151
9441840372412045
10102222222212201
112a631223569093
12b56b427483035
13450668b8b1a70
141b35820c49037
15bc407bae59bb
hex5cf8773e3c69

102222222212201 has 36 divisors (see below), whose sum is σ = 128570884823556. Its totient is φ = 80556861672000.

The previous prime is 102222222212113. The next prime is 102222222212221. The reversal of 102222222212201 is 102212222222201.

It can be written as a sum of positive squares in 2 ways, for example, as 10360827942976 + 91861394269225 = 3218824^2 + 9584435^2 .

It is a de Polignac number, because none of the positive numbers 2k-102222222212201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102222222212221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38858051 + ... + 41405223.

It is an arithmetic number, because the mean of its divisors is an integer number (3571413467321).

Almost surely, 2102222222212201 is an apocalyptic number.

It is an amenable number.

102222222212201 is a deficient number, since it is larger than the sum of its proper divisors (26348662611355).

102222222212201 is an equidigital number, since it uses as much as digits as its factorization.

102222222212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547702 (or 2547444 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 102222222212201 its reverse (102212222222201), we get a palindrome (204434444434402).

The spelling of 102222222212201 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred twenty-two million, two hundred twelve thousand, two hundred one".

Divisors: 1 7 13 49 91 251 637 1757 3263 12299 22841 63001 159887 441007 819013 2547173 3087049 5733091 17830211 33113249 40131637 124811477 231792743 639340423 1622549201 4475382961 8311425499 31327680727 58179978493 160474446173 407259849451 1123321123211 2086167800249 7863247862477 14603174601743 102222222212201