102010222010120 has 64 divisors (see below), whose sum is σ = 231819006691440. Its totient is φ = 40395991680000.

The previous prime is 102010222010111. The next prime is 102010222010161. The reversal of 102010222010120 is 21010222010201.

It can be written as a sum of positive squares in 8 ways, for example, as 102000587017156 + 9634992964 = 10099534^2 + 98158^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102010222010095 and 102010222010104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38724914 + ... + 41275166.

Almost surely, 2^{102010222010120} is an apocalyptic number.

102010222010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010222010120 is an abundant number, since it is smaller than the sum of its proper divisors (129808784681320).

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

102010222010120 is a wasteful number, since it uses less digits than its factorization.

102010222010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560266 (or 2560262 counting only the distinct ones).

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

Adding to 102010222010120 its reverse (21010222010201), we get a palindrome (123020444020321).

The spelling of 102010222010120 in words is "one hundred two trillion, ten billion, two hundred twenty-two million, ten thousand, one hundred twenty".