102120210202120 has 128 divisors (see below), whose sum is σ = 268031084745600. Its totient is φ = 34604190208000.

The previous prime is 102120210202091. The next prime is 102120210202207. The reversal of 102120210202120 is 21202012021201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102120210202094 and 102120210202103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66830830 + ... + 68341789.

It is an arithmetic number, because the mean of its divisors is an integer number (2093992849575).

Almost surely, 2^{102120210202120} is an apocalyptic number.

102120210202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120210202120 is an abundant number, since it is smaller than the sum of its proper divisors (165910874543480).

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

102120210202120 is a wasteful number, since it uses less digits than its factorization.

102120210202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135172759 (or 135172755 counting only the distinct ones).

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

Adding to 102120210202120 its reverse (21202012021201), we get a palindrome (123322222223321).

The spelling of 102120210202120 in words is "one hundred two trillion, one hundred twenty billion, two hundred ten million, two hundred two thousand, one hundred twenty".