100111110100 has 72 divisors (see below), whose sum is σ = 219964615808. Its totient is φ = 39544243200.

The previous prime is 100111110083. The next prime is 100111110107. The reversal of 100111110100 is 1011111001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111110107) 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, 4479955 + ... + 4502245.

Almost surely, 2^100111110100 is an apocalyptic number.

100111110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109982307904).

100111110100 is an abundant number, since it is smaller than the sum of its proper divisors (119853505708).

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

100111110100 is a wasteful number, since it uses less digits than its factorization.

100111110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22865 (or 22858 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100111110100 its reverse (1011111001), we get a palindrome (101122221101).

Subtracting from 100111110100 its reverse (1011111001), we obtain a palindrome (99099999099).

The spelling of 100111110100 in words is "one hundred billion, one hundred eleven million, one hundred ten thousand, one hundred".