100113020100 has 108 divisors (see below), whose sum is σ = 322279852804. Its totient is φ = 25975261440.

The previous prime is 100113020039. The next prime is 100113020113. The reversal of 100113020100 is 1020311001.

It can be written as a sum of positive squares in 6 ways, for example, as 134374464 + 99978645636 = 11592^2 + 316194^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1469899 + ... + 1536498.

Almost surely, 2^100113020100 is an apocalyptic number.

100113020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100113020100 is an abundant number, since it is smaller than the sum of its proper divisors (222166832704).

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

100113020100 is a wasteful number, since it uses less digits than its factorization.

100113020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006454 (or 3006444 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100113020100 its reverse (1020311001), we get a palindrome (101133331101).

The spelling of 100113020100 in words is "one hundred billion, one hundred thirteen million, twenty thousand, one hundred".