102202112121102 has 96 divisors (see below), whose sum is σ = 258044141601792. Its totient is φ = 28627726076352.

The previous prime is 102202112121089. The next prime is 102202112121181. The reversal of 102202112121102 is 201121211202201.

102202112121102 is a `hidden beast` number, since 1 + 0 + 220 + 211 + 21 + 211 + 0 + 2 = 666.

102202112121102 is digitally balanced in base 4, 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2873403 + ... + 14582889.

It is an arithmetic number, because the mean of its divisors is an integer number (2687959808352).

Almost surely, 2^{102202112121102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202112121102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129022070800896).

102202112121102 is an abundant number, since it is smaller than the sum of its proper divisors (155842029480690).

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

102202112121102 is a wasteful number, since it uses less digits than its factorization.

102202112121102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11710862 (or 11710859 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102202112121102 its reverse (201121211202201), we get a palindrome (303323323323303).

The spelling of 102202112121102 in words is "one hundred two trillion, two hundred two billion, one hundred twelve million, one hundred twenty-one thousand, one hundred two".