100100000112 has 80 divisors (see below), whose sum is σ = 295574153472. Its totient is φ = 28596049920.

The previous prime is 100100000053. The next prime is 100100000123. The reversal of 100100000112 is 211000001001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 100100000112.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3134787 + ... + 3166557.

Almost surely, 2^100100000112 is an apocalyptic number.

100100000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100100000112 is an abundant number, since it is smaller than the sum of its proper divisors (195474153360).

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

100100000112 is a wasteful number, since it uses less digits than its factorization.

100100000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41166 (or 41160 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100100000112 its reverse (211000001001), we get a palindrome (311100001113).

The spelling of 100100000112 in words is "one hundred billion, one hundred million, one hundred twelve", and thus it is an aban number.