102221010002120 has 32 divisors (see below), whose sum is σ = 243526523830200. Its totient is φ = 38483203765248.

The previous prime is 102221010002119. The next prime is 102221010002141. The reversal of 102221010002120 is 21200010122201.

It can be written as a sum of positive squares in 4 ways, for example, as 91433871155236 + 10787138846884 = 9562106^2 + 3284378^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102221010002095 and 102221010002104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75162506675 + ... + 75162508034.

Almost surely, 2^{102221010002120} is an apocalyptic number.

102221010002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221010002120 is an abundant number, since it is smaller than the sum of its proper divisors (141305513828080).

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

102221010002120 is a wasteful number, since it uses less digits than its factorization.

102221010002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150325014737 (or 150325014733 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102221010002120 its reverse (21200010122201), we get a palindrome (123421020124321).

The spelling of 102221010002120 in words is "one hundred two trillion, two hundred twenty-one billion, ten million, two thousand, one hundred twenty".