10001110112112 has 80 divisors (see below), whose sum is σ = 29529859468032. Its totient is φ = 2857191728640.

The previous prime is 10001110112087. The next prime is 10001110112153. The reversal of 10001110112112 is 21121101110001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2200108 + ... + 4984244.

Almost surely, 2^{10001110112112} is an apocalyptic number.

10001110112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001110112112 is an abundant number, since it is smaller than the sum of its proper divisors (19528749355920).

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

10001110112112 is a wasteful number, since it uses less digits than its factorization.

10001110112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794846 (or 2794840 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10001110112112 its reverse (21121101110001), we get a palindrome (31122211222113).

The spelling of 10001110112112 in words is "ten trillion, one billion, one hundred ten million, one hundred twelve thousand, one hundred twelve".