102202021210120 has 64 divisors (see below), whose sum is σ = 247649876414640. Its totient is φ = 37735137792000.

The previous prime is 102202021210067. The next prime is 102202021210129. The reversal of 102202021210120 is 21012120202201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 56432818303684 + 45769202906436 = 7512178^2 + 6765294^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102202021210094 and 102202021210103.

It is not an unprimeable number, because it can be changed into a prime (102202021210129) 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, 17339020 + ... + 22473220.

Almost surely, 2^{102202021210120} is an apocalyptic number.

102202021210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202021210120 is an abundant number, since it is smaller than the sum of its proper divisors (145447855204520).

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

102202021210120 is a wasteful number, since it uses less digits than its factorization.

102202021210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172506 (or 5172502 counting only the distinct ones).

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

Adding to 102202021210120 its reverse (21012120202201), we get a palindrome (123214141412321).

The spelling of 102202021210120 in words is "one hundred two trillion, two hundred two billion, twenty-one million, two hundred ten thousand, one hundred twenty".