102201013120120 has 64 divisors (see below), whose sum is σ = 232392864503520. Its totient is φ = 40446777237504.

The previous prime is 102201013120117. The next prime is 102201013120123. The reversal of 102201013120120 is 21021310102201.

It is an interprime number because it is at equal distance from previous prime (102201013120117) and next prime (102201013120123).

It is a junction number, because it is equal to n+sod(n) for n = 102201013120094 and 102201013120103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201013120123) 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, 8929884 + ... + 16856596.

Almost surely, 2^{102201013120120} is an apocalyptic number.

102201013120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201013120120 is an abundant number, since it is smaller than the sum of its proper divisors (130191851383400).

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

102201013120120 is a wasteful number, since it uses less digits than its factorization.

102201013120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7930144 (or 7930140 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102201013120120 its reverse (21021310102201), we get a palindrome (123222323222321).

The spelling of 102201013120120 in words is "one hundred two trillion, two hundred one billion, thirteen million, one hundred twenty thousand, one hundred twenty".