102312424213201 has 32 divisors (see below), whose sum is σ = 106429759488000. Its totient is φ = 98249284560000.

The previous prime is 102312424213199. The next prime is 102312424213253.

102312424213201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102312424213201 - 2¹ = 102312424213199 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102312424213201.

It is not an unprimeable number, because it can be changed into a prime (102312424213001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10712216376 + ... + 10712225926.

It is an arithmetic number, because the mean of its divisors is an integer number (3325929984000).

Almost surely, 2^{102312424213201} is an apocalyptic number.

It is an amenable number.

102312424213201 is a deficient number, since it is larger than the sum of its proper divisors (4117335274799).

102312424213201 is a wasteful number, since it uses less digits than its factorization.

102312424213201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14781.

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 102312424213201 in words is "one hundred two trillion, three hundred twelve billion, four hundred twenty-four million, two hundred thirteen thousand, two hundred one".