102323626323201 has 48 divisors (see below), whose sum is σ = 148367728903680. Its totient is φ = 67954707475200.

The previous prime is 102323626323169. The next prime is 102323626323227.

It is a happy number.

102323626323201 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 2 + 3 + 626 + 3 + 2 + 3 + 20 + 1 = 666.

102323626323201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102323626323201 - 2⁵ = 102323626323169 is a prime.

It is a super-2 number, since 2×102323626323201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102323626323241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6692622765 + ... + 6692638053.

It is an arithmetic number, because the mean of its divisors is an integer number (3090994352160).

Almost surely, 2^{102323626323201} is an apocalyptic number.

It is an amenable number.

102323626323201 is a deficient number, since it is larger than the sum of its proper divisors (46044102580479).

102323626323201 is a wasteful number, since it uses less digits than its factorization.

102323626323201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18486 (or 18483 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 102323626323201 in words is "one hundred two trillion, three hundred twenty-three billion, six hundred twenty-six million, three hundred twenty-three thousand, two hundred one".