102112000011120 has 80 divisors (see below), whose sum is σ = 345324218228352. Its totient is φ = 24754424244480.

The previous prime is 102112000011067. The next prime is 102112000011157. The reversal of 102112000011120 is 21110000211201.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 102112000011096 and 102112000011105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19339391302 + ... + 19339396581.

Almost surely, 2^{102112000011120} is an apocalyptic number.

102112000011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112000011120 is an abundant number, since it is smaller than the sum of its proper divisors (243212218217232).

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

102112000011120 is a wasteful number, since it uses less digits than its factorization.

102112000011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38678787910 (or 38678787904 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102112000011120 its reverse (21110000211201), we get a palindrome (123222000222321).

The spelling of 102112000011120 in words is "one hundred two trillion, one hundred twelve billion, eleven thousand, one hundred twenty".