100111101072 has 40 divisors (see below), whose sum is σ = 258820830240. Its totient is φ = 33344497920.

The previous prime is 100111101059. The next prime is 100111101073. The reversal of 100111101072 is 270101111001.

It is not an unprimeable number, because it can be changed into a prime (100111101073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 745797 + ... + 869732.

It is an arithmetic number, because the mean of its divisors is an integer number (6470520756).

Almost surely, 2^100111101072 is an apocalyptic number.

100111101072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100111101072 is an abundant number, since it is smaller than the sum of its proper divisors (158709729168).

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

100111101072 is a wasteful number, since it uses less digits than its factorization.

100111101072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616831 (or 1616825 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 15.

Adding to 100111101072 its reverse (270101111001), we get a palindrome (370212212073).

The spelling of 100111101072 in words is "one hundred billion, one hundred eleven million, one hundred one thousand, seventy-two".