102200210000112 has 80 divisors (see below), whose sum is σ = 301735479836160. Its totient is φ = 29199912274176.

The previous prime is 102200210000089. The next prime is 102200210000113. The reversal of 102200210000112 is 211000012002201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200210000113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77607838 + ... + 78913730.

It is an arithmetic number, because the mean of its divisors is an integer number (3771693497952).

Almost surely, 2^{102200210000112} is an apocalyptic number.

102200210000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102200210000112 is an abundant number, since it is smaller than the sum of its proper divisors (199535269836048).

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

102200210000112 is a wasteful number, since it uses less digits than its factorization.

102200210000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538830 (or 1538824 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102200210000112 its reverse (211000012002201), we get a palindrome (313200222002313).

The spelling of 102200210000112 in words is "one hundred two trillion, two hundred billion, two hundred ten million, one hundred twelve", and thus it is an aban number.