102202202112 has 96 divisors (see below), whose sum is σ = 272758253040. Its totient is φ = 34031697920.

The previous prime is 102202202101. The next prime is 102202202147. The reversal of 102202202112 is 211202202201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 102202202091 and 102202202100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6215662 + ... + 6232082.

Almost surely, 2^102202202112 is an apocalyptic number.

102202202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136379126520).

102202202112 is an abundant number, since it is smaller than the sum of its proper divisors (170556050928).

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

102202202112 is a wasteful number, since it uses less digits than its factorization.

102202202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17459 (or 17439 counting only the distinct ones).

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

Adding to 102202202112 its reverse (211202202201), we get a palindrome (313404404313).

The spelling of 102202202112 in words is "one hundred two billion, two hundred two million, two hundred two thousand, one hundred twelve".