102021210002120 has 64 divisors (see below), whose sum is σ = 231964207118640. Its totient is φ = 40379387776000.

The previous prime is 102021210002119. The next prime is 102021210002141. The reversal of 102021210002120 is 21200012120201.

It can be written as a sum of positive squares in 8 ways, for example, as 90025142232964 + 11996067769156 = 9488158^2 + 3463534^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102021210002095 and 102021210002104.

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, 1311371 + ... + 14344410.

Almost surely, 2^{102021210002120} is an apocalyptic number.

102021210002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021210002120 is an abundant number, since it is smaller than the sum of its proper divisors (129942997116520).

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

102021210002120 is a wasteful number, since it uses less digits than its factorization.

102021210002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15657506 (or 15657502 counting only the distinct ones).

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

Adding to 102021210002120 its reverse (21200012120201), we get a palindrome (123221222122321).

The spelling of 102021210002120 in words is "one hundred two trillion, twenty-one billion, two hundred ten million, two thousand, one hundred twenty".