100200122202120 has 64 divisors (see below), whose sum is σ = 310297152637440. Its totient is φ = 25858096051200.

The previous prime is 100200122202077. The next prime is 100200122202121. The reversal of 100200122202120 is 21202221002001.

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 100200122202120.

It is not an unprimeable number, because it can be changed into a prime (100200122202121) 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, 13467754641 + ... + 13467762080.

It is an arithmetic number, because the mean of its divisors is an integer number (4848393009960).

Almost surely, 2^{100200122202120} is an apocalyptic number.

100200122202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200122202120 is an abundant number, since it is smaller than the sum of its proper divisors (210097030435320).

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

100200122202120 is a wasteful number, since it uses less digits than its factorization.

100200122202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26935516766 (or 26935516762 counting only the distinct ones).

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

Adding to 100200122202120 its reverse (21202221002001), we get a palindrome (121402343204121).

The spelling of 100200122202120 in words is "one hundred trillion, two hundred billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty".