102202202000112 has 80 divisors (see below), whose sum is σ = 265197806016000. Its totient is φ = 33915754858752.

The previous prime is 102202202000057. The next prime is 102202202000137. The reversal of 102202202000112 is 211000202202201.

102202202000112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102202202000091 and 102202202000100.

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, 131064589 + ... + 131842067.

It is an arithmetic number, because the mean of its divisors is an integer number (3314972575200).

Almost surely, 2^{102202202000112} is an apocalyptic number.

102202202000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102202202000112 is an abundant number, since it is smaller than the sum of its proper divisors (162995604015888).

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

102202202000112 is a wasteful number, since it uses less digits than its factorization.

102202202000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789678 (or 789672 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102202202000112 its reverse (211000202202201), we get a palindrome (313202404202313).

The spelling of 102202202000112 in words is "one hundred two trillion, two hundred two billion, two hundred two million, one hundred twelve", and thus it is an aban number.