102202100112 has 80 divisors (see below), whose sum is σ = 301831931520. Its totient is φ = 29191658496.

The previous prime is 102202100111. The next prime is 102202100123. The reversal of 102202100112 is 211001202201.

102202100112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (102202100111) 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, 1093828 + ... + 1183580.

It is an arithmetic number, because the mean of its divisors is an integer number (3772899144).

Almost surely, 2^102202100112 is an apocalyptic number.

102202100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102202100112 is an abundant number, since it is smaller than the sum of its proper divisors (199629831408).

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

102202100112 is a wasteful number, since it uses less digits than its factorization.

102202100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93160 (or 93154 counting only the distinct ones).

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

Adding to 102202100112 its reverse (211001202201), we get a palindrome (313203302313).

The spelling of 102202100112 in words is "one hundred two billion, two hundred two million, one hundred thousand, one hundred twelve".