100202202100120 has 128 divisors (see below), whose sum is σ = 248312997878400. Its totient is φ = 36221152665600.

The previous prime is 100202202100037. The next prime is 100202202100139. The reversal of 100202202100120 is 21001202202001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100202202100120.

It is a congruent number.

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, 10467276 + ... + 17605915.

It is an arithmetic number, because the mean of its divisors is an integer number (1939945295925).

Almost surely, 2^{100202202100120} is an apocalyptic number.

100202202100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202202100120 is an abundant number, since it is smaller than the sum of its proper divisors (148110795778280).

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

100202202100120 is a wasteful number, since it uses less digits than its factorization.

100202202100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28073429 (or 28073425 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100202202100120 its reverse (21001202202001), we get a palindrome (121203404302121).

The spelling of 100202202100120 in words is "one hundred trillion, two hundred two billion, two hundred two million, one hundred thousand, one hundred twenty".