102864888045113 has 2 divisors, whose sum is σ = 102864888045114. Its totient is φ = 102864888045112.

The previous prime is 102864888045107. The next prime is 102864888045191. The reversal of 102864888045113 is 311540888468201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102856857734569 + 8030310544 = 10141837^2 + 89612^2 .

It is a cyclic number.

It is not a de Polignac number, because 102864888045113 - 2³⁶ = 102796168568377 is a prime.

It is not a weakly prime, because it can be changed into another prime (102864888042113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51432444022556 + 51432444022557.

It is an arithmetic number, because the mean of its divisors is an integer number (51432444022557).

Almost surely, 2^{102864888045113} is an apocalyptic number.

It is an amenable number.

102864888045113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102864888045113 is an equidigital number, since it uses as much as digits as its factorization.

102864888045113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11796480, while the sum is 59.

The spelling of 102864888045113 in words is "one hundred two trillion, eight hundred sixty-four billion, eight hundred eighty-eight million, forty-five thousand, one hundred thirteen".