101100111002112 has 40 divisors (see below), whose sum is σ = 269337014470656. Its totient is φ = 33700037000192.

The previous prime is 101100111002069. The next prime is 101100111002129. The reversal of 101100111002112 is 211200111001101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32910190848 + ... + 32910193919.

Almost surely, 2^{101100111002112} is an apocalyptic number.

101100111002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101100111002112 is an abundant number, since it is smaller than the sum of its proper divisors (168236903468544).

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

101100111002112 is an frugal number, since it uses more digits than its factorization.

101100111002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65820384788 (or 65820384772 counting only the distinct ones).

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

Adding to 101100111002112 its reverse (211200111001101), we get a palindrome (312300222003213).

The spelling of 101100111002112 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, two thousand, one hundred twelve".