102202002112000 has 160 divisors (see below), whose sum is σ = 291253806866880. Its totient is φ = 35040686284800.

The previous prime is 102202002111971. The next prime is 102202002112027. The reversal of 102202002112000 is 211200202201.

It is a happy number.

102202002112000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

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, 113616735 + ... + 114512734.

It is an arithmetic number, because the mean of its divisors is an integer number (1820336292918).

Almost surely, 2^{102202002112000} is an apocalyptic number.

102202002112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202002112000 is an abundant number, since it is smaller than the sum of its proper divisors (189051804754880).

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

102202002112000 is an frugal number, since it uses more digits than its factorization.

102202002112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228129509 (or 228129483 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102202002112000 its reverse (211200202201), we get a palindrome (102413202314201).

The spelling of 102202002112000 in words is "one hundred two trillion, two hundred two billion, two million, one hundred twelve thousand".