202200202120 has 64 divisors (see below), whose sum is σ = 531006036480. Its totient is φ = 67850762496.

The previous prime is 202200202067. The next prime is 202200202121. The reversal of 202200202120 is 21202002202.

202200202120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 202200202120.

It is not an unprimeable number, because it can be changed into a prime (202200202121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7669219 + ... + 7695538.

It is an arithmetic number, because the mean of its divisors is an integer number (8296969320).

Almost surely, 2^202200202120 is an apocalyptic number.

202200202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202200202120 is an abundant number, since it is smaller than the sum of its proper divisors (328805834360).

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

202200202120 is a wasteful number, since it uses less digits than its factorization.

202200202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15364822 (or 15364818 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 202200202120 its reverse (21202002202), we get a palindrome (223402204322).

The spelling of 202200202120 in words is "two hundred two billion, two hundred million, two hundred two thousand, one hundred twenty".