100111111000100 has 72 divisors (see below), whose sum is σ = 225500365469568. Its totient is φ = 38549935900800.

The previous prime is 100111111000091. The next prime is 100111111000133. The reversal of 100111111000100 is 1000111111001.

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, 174305402 + ... + 174878801.

Almost surely, 2^{100111111000100} is an apocalyptic number.

100111111000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111111000100 is an abundant number, since it is smaller than the sum of its proper divisors (125389254469468).

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

100111111000100 is a wasteful number, since it uses less digits than its factorization.

100111111000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349184325 (or 349184318 counting only the distinct ones).

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

Adding to 100111111000100 its reverse (1000111111001), we get a palindrome (101111222111101).

The spelling of 100111111000100 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, one hundred", and thus it is an aban number.