100200200022000 has 480 divisors, whose sum is σ = 396722493760320. Its totient is φ = 23366523340800.

The previous prime is 100200200021953. The next prime is 100200200022007. The reversal of 100200200022000 is 220002002001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200200022007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6822579 + ... + 15714578.

It is an arithmetic number, because the mean of its divisors is an integer number (826505195334).

Almost surely, 2^{100200200022000} is an apocalyptic number.

100200200022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200200022000 is an abundant number, since it is smaller than the sum of its proper divisors (296522293738320).

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

100200200022000 is a wasteful number, since it uses less digits than its factorization.

100200200022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22537218 (or 22537199 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 100200200022000 its reverse (220002002001), we get a palindrome (100420202024001).

The spelling of 100200200022000 in words is "one hundred trillion, two hundred billion, two hundred million, twenty-two thousand".