202002002120 has 32 divisors (see below), whose sum is σ = 470177076600. Its totient is φ = 78014565888.

The previous prime is 202002002101. The next prime is 202002002129. The reversal of 202002002120 is 21200200202.

202002002120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 149882025316 + 52119976804 = 387146^2 + 228298^2 .

It is not an unprimeable number, because it can be changed into a prime (202002002129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87068669 + ... + 87070988.

Almost surely, 2^202002002120 is an apocalyptic number.

202002002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202002002120 is an abundant number, since it is smaller than the sum of its proper divisors (268175074480).

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

202002002120 is a wasteful number, since it uses less digits than its factorization.

202002002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174139697 (or 174139693 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 202002002120 its reverse (21200200202), we get a palindrome (223202202322).

The spelling of 202002002120 in words is "two hundred two billion, two million, two thousand, one hundred twenty".