102202112201120 has 48 divisors (see below), whose sum is σ = 241476492734568. Its totient is φ = 40876780938240.

The previous prime is 102202112201117. The next prime is 102202112201143. The reversal of 102202112201120 is 21102211202201.

It can be written as a sum of positive squares in 4 ways, for example, as 97764871062544 + 4437241138576 = 9887612^2 + 2106476^2 .

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, 30134759 + ... + 33354278.

Almost surely, 2^{102202112201120} is an apocalyptic number.

102202112201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202112201120 is an abundant number, since it is smaller than the sum of its proper divisors (139274380533448).

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

102202112201120 is a wasteful number, since it uses less digits than its factorization.

102202112201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63499113 (or 63499105 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102202112201120 its reverse (21102211202201), we get a palindrome (123304323403321).

The spelling of 102202112201120 in words is "one hundred two trillion, two hundred two billion, one hundred twelve million, two hundred one thousand, one hundred twenty".