102312220032001 has 12 divisors (see below), whose sum is σ = 119028001944852. Its totient is φ = 87687533659488.

The previous prime is 102312220031969. The next prime is 102312220032013. The reversal of 102312220032001 is 100230022213201.

It can be written as a sum of positive squares in 2 ways, for example, as 93253805553601 + 9058414478400 = 9656801^2 + 3009720^2 .

It is not a de Polignac number, because 102312220032001 - 2⁵ = 102312220031969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102312220032001.

It is not an unprimeable number, because it can be changed into a prime (102312220032091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102533410 + ... + 103526443.

It is an arithmetic number, because the mean of its divisors is an integer number (9919000162071).

Almost surely, 2^{102312220032001} is an apocalyptic number.

It is an amenable number.

102312220032001 is a deficient number, since it is larger than the sum of its proper divisors (16715781912851).

102312220032001 is a wasteful number, since it uses less digits than its factorization.

102312220032001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206070000 (or 206069993 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102312220032001 its reverse (100230022213201), we get a palindrome (202542242245202).

The spelling of 102312220032001 in words is "one hundred two trillion, three hundred twelve billion, two hundred twenty million, thirty-two thousand, one".