100111000110100 has 162 divisors, whose sum is σ = 264173822310174. Its totient is φ = 32831432726400.

The previous prime is 100111000110073. The next prime is 100111000110109. The reversal of 100111000110100 is 1011000111001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2096802465156 + 98014197644944 = 1448034^2 + 9900212^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111000110109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 16718691 + ... + 21902890.

Almost surely, 2^{100111000110100} is an apocalyptic number.

100111000110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111000110100 is an abundant number, since it is smaller than the sum of its proper divisors (164062822200074).

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

100111000110100 is a wasteful number, since it uses less digits than its factorization.

100111000110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38621655 (or 38621618 counting only the distinct ones).

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

Adding to 100111000110100 its reverse (1011000111001), we get a palindrome (101122000221101).

Subtracting from 100111000110100 its reverse (1011000111001), we obtain a palindrome (99099999999099).

The spelling of 100111000110100 in words is "one hundred trillion, one hundred eleven billion, one hundred ten thousand, one hundred".