112100020112112 has 80 divisors (see below), whose sum is σ = 295863083550720. Its totient is φ = 36558055526656.

The previous prime is 112100020112107. The next prime is 112100020112167. The reversal of 112100020112112 is 211211020001211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112100020112091 and 112100020112100.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3150312 + ... + 15301127.

It is an arithmetic number, because the mean of its divisors is an integer number (3698288544384).

Almost surely, 2^{112100020112112} is an apocalyptic number.

112100020112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112100020112112 is an abundant number, since it is smaller than the sum of its proper divisors (183763063438608).

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

112100020112112 is a wasteful number, since it uses less digits than its factorization.

112100020112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18454190 (or 18454184 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112100020112112 its reverse (211211020001211), we get a palindrome (323311040113323).

The spelling of 112100020112112 in words is "one hundred twelve trillion, one hundred billion, twenty million, one hundred twelve thousand, one hundred twelve".