100200102013231 has 16 divisors (see below), whose sum is σ = 109891208448000. Its totient is φ = 90606269239200.

The previous prime is 100200102013183. The next prime is 100200102013301. The reversal of 100200102013231 is 132310201002001.

It is not a de Polignac number, because 100200102013231 - 2³⁵ = 100165742274863 is a prime.

It is a super-2 number, since 2×100200102013231² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200102010231) 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, 539161 + ... + 14166541.

It is an arithmetic number, because the mean of its divisors is an integer number (6868200528000).

Almost surely, 2^{100200102013231} is an apocalyptic number.

100200102013231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100200102013231 is a deficient number, since it is larger than the sum of its proper divisors (9691106434769).

100200102013231 is a wasteful number, since it uses less digits than its factorization.

100200102013231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13630950.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100200102013231 its reverse (132310201002001), we get a palindrome (232510303015232).

The spelling of 100200102013231 in words is "one hundred trillion, two hundred billion, one hundred two million, thirteen thousand, two hundred thirty-one".