102201120120120 has 128 divisors (see below), whose sum is σ = 350435301696000. Its totient is φ = 23358158608896.

The previous prime is 102201120120101. The next prime is 102201120120139. The reversal of 102201120120120 is 21021021102201.

It is an interprime number because it is at equal distance from previous prime (102201120120101) and next prime (102201120120139).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102201120120120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3908707 + ... + 14821613.

It is an arithmetic number, because the mean of its divisors is an integer number (2737775794500).

Almost surely, 2^{102201120120120} is an apocalyptic number.

102201120120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201120120120 is an abundant number, since it is smaller than the sum of its proper divisors (248234181575880).

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

102201120120120 is a wasteful number, since it uses less digits than its factorization.

102201120120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10924077 (or 10924073 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102201120120120 its reverse (21021021102201), we get a palindrome (123222141222321).

The spelling of 102201120120120 in words is "one hundred two trillion, two hundred one billion, one hundred twenty million, one hundred twenty thousand, one hundred twenty".