102465666564201 has 32 divisors (see below), whose sum is σ = 155904691313280. Its totient is φ = 66463800740928.

The previous prime is 102465666564179. The next prime is 102465666564203.

102465666564201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102465666564201 - 2¹⁵ = 102465666531433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102465666564203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306922770 + ... + 307256436.

It is an arithmetic number, because the mean of its divisors is an integer number (4872021603540).

Almost surely, 2^{102465666564201} is an apocalyptic number.

It is an amenable number.

102465666564201 is a deficient number, since it is larger than the sum of its proper divisors (53439024749079).

102465666564201 is a wasteful number, since it uses less digits than its factorization.

102465666564201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641110 (or 641104 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

It can be divided in two parts, 102465 and 666564201, that added together give a palindrome (666666666).

The spelling of 102465666564201 in words is "one hundred two trillion, four hundred sixty-five billion, six hundred sixty-six million, five hundred sixty-four thousand, two hundred one".