102202300222113 has 64 divisors (see below), whose sum is σ = 168820924977152. Its totient is φ = 53554089288960.

The previous prime is 102202300222097. The next prime is 102202300222147. The reversal of 102202300222113 is 311222003202201.

It is not a de Polignac number, because 102202300222113 - 2⁴ = 102202300222097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 102202300222113.

It is not an unprimeable number, because it can be changed into a prime (102202300221113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202180068 + ... + 202684938.

It is an arithmetic number, because the mean of its divisors is an integer number (2637826952768).

Almost surely, 2^{102202300222113} is an apocalyptic number.

102202300222113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102202300222113 is a deficient number, since it is larger than the sum of its proper divisors (66618624755039).

102202300222113 is a wasteful number, since it uses less digits than its factorization.

102202300222113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509774.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102202300222113 its reverse (311222003202201), we get a palindrome (413424303424314).

The spelling of 102202300222113 in words is "one hundred two trillion, two hundred two billion, three hundred million, two hundred twenty-two thousand, one hundred thirteen".