100910000112 has 40 divisors (see below), whose sum is σ = 263265210960. Its totient is φ = 33303628800.

The previous prime is 100910000111. The next prime is 100910000131. The reversal of 100910000112 is 211000019001.

100910000112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100910000091 and 100910000100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100910000111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10402537 + ... + 10412232.

It is an arithmetic number, because the mean of its divisors is an integer number (6581630274).

Almost surely, 2^100910000112 is an apocalyptic number.

100910000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100910000112 is an abundant number, since it is smaller than the sum of its proper divisors (162355210848).

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

100910000112 is a wasteful number, since it uses less digits than its factorization.

100910000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20814881 (or 20814875 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 100910000112 its reverse (211000019001), we get a palindrome (311910019113).

The spelling of 100910000112 in words is "one hundred billion, nine hundred ten million, one hundred twelve", and thus it is an aban number.