102111200112000 has 128 divisors (see below), whose sum is σ = 338498628530400. Its totient is φ = 27229653350400.

The previous prime is 102111200111981. The next prime is 102111200112043. The reversal of 102111200112000 is 211002111201.

It is a tau number, because it is divible by the number of its divisors (128).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1063610335 + ... + 1063706334.

Almost surely, 2^{102111200112000} is an apocalyptic number.

102111200112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111200112000 is an abundant number, since it is smaller than the sum of its proper divisors (236387428418400).

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

102111200112000 is an equidigital number, since it uses as much as digits as its factorization.

102111200112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127316701 (or 2127316679 counting only the distinct ones).

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

Adding to 102111200112000 its reverse (211002111201), we get a palindrome (102322202223201).

The spelling of 102111200112000 in words is "one hundred two trillion, one hundred eleven billion, two hundred million, one hundred twelve thousand".