100111012100 has 72 divisors (see below), whose sum is σ = 247294047168. Its totient is φ = 34821212800.

The previous prime is 100111012087. The next prime is 100111012109. The reversal of 100111012100 is 1210111001.

It is a happy number.

100111012100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100111012109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1953179 + ... + 2003778.

It is an arithmetic number, because the mean of its divisors is an integer number (3434639544).

Almost surely, 2^100111012100 is an apocalyptic number.

100111012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111012100 is an abundant number, since it is smaller than the sum of its proper divisors (147183035068).

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

100111012100 is a wasteful number, since it uses less digits than its factorization.

100111012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957005 (or 3956998 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100111012100 its reverse (1210111001), we get a palindrome (101321123101).

The spelling of 100111012100 in words is "one hundred billion, one hundred eleven million, twelve thousand, one hundred".