102113313100 has 72 divisors (see below), whose sum is σ = 236729917760. Its totient is φ = 38117977920.

The previous prime is 102113313097. The next prime is 102113313149. The reversal of 102113313100 is 1313311201.

102113313100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102113313100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273774 + ... + 528373.

Almost surely, 2^102113313100 is an apocalyptic number.

102113313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102113313100 is an abundant number, since it is smaller than the sum of its proper divisors (134616604660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102113313100 is a wasteful number, since it uses less digits than its factorization.

102113313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802247 (or 802240 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 102113313100 its reverse (1313311201), we get a palindrome (103426624301).

The spelling of 102113313100 in words is "one hundred two billion, one hundred thirteen million, three hundred thirteen thousand, one hundred".