102531135201 has 16 divisors (see below), whose sum is σ = 149313991680. Its totient is φ = 62066000720.

The previous prime is 102531135197. The next prime is 102531135221.

102531135201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 102531135201 - 2² = 102531135197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102531135221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1823925 + ... + 1879298.

It is an arithmetic number, because the mean of its divisors is an integer number (9332124480).

Almost surely, 2^102531135201 is an apocalyptic number.

102531135201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102531135201 is a deficient number, since it is larger than the sum of its proper divisors (46782856479).

102531135201 is a wasteful number, since it uses less digits than its factorization.

102531135201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704076.

The product of its (nonzero) digits is 900, while the sum is 24.

It can be divided in two parts, 102531 and 135201, that added together give a palindrome (237732).

The spelling of 102531135201 in words is "one hundred two billion, five hundred thirty-one million, one hundred thirty-five thousand, two hundred one".