102210202102120 has 96 divisors (see below), whose sum is σ = 267531476999400. Its totient is φ = 35041936753152.

The previous prime is 102210202102069. The next prime is 102210202102243. The reversal of 102210202102120 is 21201202012201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 102151004292484 + 59197809636 = 10106978^2 + 243306^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102210202102094 and 102210202102103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43281034 + ... + 45581446.

Almost surely, 2^{102210202102120} is an apocalyptic number.

102210202102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210202102120 is an abundant number, since it is smaller than the sum of its proper divisors (165321274897280).

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

102210202102120 is a wasteful number, since it uses less digits than its factorization.

102210202102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323107 (or 2323096 counting only the distinct ones).

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

Adding to 102210202102120 its reverse (21201202012201), we get a palindrome (123411404114321).

The spelling of 102210202102120 in words is "one hundred two trillion, two hundred ten billion, two hundred two million, one hundred two thousand, one hundred twenty".