102202101120112 has 40 divisors (see below), whose sum is σ = 226306586880000. Its totient is φ = 43800526080192.

The previous prime is 102202101120103. The next prime is 102202101120113. The reversal of 102202101120112 is 211021101202201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202101120113) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9464889 + ... + 17146087.

It is an arithmetic number, because the mean of its divisors is an integer number (5657664672000).

Almost surely, 2^{102202101120112} is an apocalyptic number.

It is an amenable number.

102202101120112 is an abundant number, since it is smaller than the sum of its proper divisors (124104485759888).

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

102202101120112 is a wasteful number, since it uses less digits than its factorization.

102202101120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800013 (or 7800007 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102202101120112 its reverse (211021101202201), we get a palindrome (313223202322313).

The spelling of 102202101120112 in words is "one hundred two trillion, two hundred two billion, one hundred one million, one hundred twenty thousand, one hundred twelve".