102312040213201 has 32 divisors (see below), whose sum is σ = 131845858905600. Its totient is φ = 77166343609344.

The previous prime is 102312040213133. The next prime is 102312040213219.

102312040213201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 102312040213201 - 2¹¹ = 102312040211153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102312040213241) 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, 82804776 + ... + 84031273.

It is an arithmetic number, because the mean of its divisors is an integer number (4120183090800).

Almost surely, 2^{102312040213201} is an apocalyptic number.

It is an amenable number.

102312040213201 is a deficient number, since it is larger than the sum of its proper divisors (29533818692399).

102312040213201 is a wasteful number, since it uses less digits than its factorization.

102312040213201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166836385.

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 102312040213201 in words is "one hundred two trillion, three hundred twelve billion, forty million, two hundred thirteen thousand, two hundred one".