100111109056 has 56 divisors (see below), whose sum is σ = 240392870496. Its totient is φ = 40380948480.

The previous prime is 100111109053. The next prime is 100111109057. The reversal of 100111109056 is 650901111001.

100111109056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×100111109056² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100111109056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111109053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6564805 + ... + 6580036.

Almost surely, 2^100111109056 is an apocalyptic number.

100111109056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100111109056 is an abundant number, since it is smaller than the sum of its proper divisors (140281761440).

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

100111109056 is a wasteful number, since it uses less digits than its factorization.

100111109056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13144877 (or 13144867 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 25.

The spelling of 100111109056 in words is "one hundred billion, one hundred eleven million, one hundred nine thousand, fifty-six".