10201202120120 has 64 divisors (see below), whose sum is σ = 25340992871040. Its totient is φ = 3664834921600.

The previous prime is 10201202120051. The next prime is 10201202120147. The reversal of 10201202120120 is 2102120210201.

It is a junction number, because it is equal to n+sod(n) for n = 10201202120095 and 10201202120104.

It is a congruent number.

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, 139629446 + ... + 139702485.

It is an arithmetic number, because the mean of its divisors is an integer number (395953013610).

Almost surely, 2^{10201202120120} is an apocalyptic number.

10201202120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201202120120 is an abundant number, since it is smaller than the sum of its proper divisors (15139790750920).

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

10201202120120 is a wasteful number, since it uses less digits than its factorization.

10201202120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279332036 (or 279332032 counting only the distinct ones).

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

Adding to 10201202120120 its reverse (2102120210201), we get a palindrome (12303322330321).

The spelling of 10201202120120 in words is "ten trillion, two hundred one billion, two hundred two million, one hundred twenty thousand, one hundred twenty".