102202012120120 has 64 divisors (see below), whose sum is σ = 264062615068800. Its totient is φ = 35208348670080.

The previous prime is 102202012120093. The next prime is 102202012120121. The reversal of 102202012120120 is 21021210202201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102202012120094 and 102202012120103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202012120121) 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, 6112552174 + ... + 6112568893.

It is an arithmetic number, because the mean of its divisors is an integer number (4125978360450).

Almost surely, 2^{102202012120120} is an apocalyptic number.

102202012120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202012120120 is an abundant number, since it is smaller than the sum of its proper divisors (161860602948680).

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

102202012120120 is a wasteful number, since it uses less digits than its factorization.

102202012120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12225121108 (or 12225121104 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102202012120120 its reverse (21021210202201), we get a palindrome (123223222322321).

The spelling of 102202012120120 in words is "one hundred two trillion, two hundred two billion, twelve million, one hundred twenty thousand, one hundred twenty".