100100111011100 has 72 divisors (see below), whose sum is σ = 224716885167600. Its totient is φ = 38657736947200.

The previous prime is 100100111011093. The next prime is 100100111011133. The reversal of 100100111011100 is 1110111001001.

It is a congruent number.

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, 69844715 + ... + 71263485.

It is an arithmetic number, because the mean of its divisors is an integer number (3121067849550).

Almost surely, 2^{100100111011100} is an apocalyptic number.

100100111011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100111011100 is an abundant number, since it is smaller than the sum of its proper divisors (124616774156500).

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

100100111011100 is a wasteful number, since it uses less digits than its factorization.

100100111011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443143 (or 1443136 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100100111011100 its reverse (1110111001001), we get a palindrome (101210222012101).

The spelling of 100100111011100 in words is "one hundred trillion, one hundred billion, one hundred eleven million, eleven thousand, one hundred".