202202100210120 has 512 divisors, whose sum is σ = 621033512140800. Its totient is φ = 52660216627200.

The previous prime is 202202100210043. The next prime is 202202100210139. The reversal of 202202100210120 is 21012001202202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202202100210120.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 155899845312 + ... + 155899846608.

It is an arithmetic number, because the mean of its divisors is an integer number (1212956078400).

Almost surely, 2^{202202100210120} is an apocalyptic number.

202202100210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202202100210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310516756070400).

202202100210120 is an abundant number, since it is smaller than the sum of its proper divisors (418831411930680).

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

202202100210120 is a wasteful number, since it uses less digits than its factorization.

202202100210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202202100210120 its reverse (21012001202202), we get a palindrome (223214101412322).

The spelling of 202202100210120 in words is "two hundred two trillion, two hundred two billion, one hundred million, two hundred ten thousand, one hundred twenty".