200021122201100 has 144 divisors (see below), whose sum is σ = 450060256800000. Its totient is φ = 77069431971840.

The previous prime is 200021122201051. The next prime is 200021122201151. The reversal of 200021122201100 is 1102221120002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6569038676 + ... + 6569069124.

It is an arithmetic number, because the mean of its divisors is an integer number (3125418450000).

Almost surely, 2^{200021122201100} is an apocalyptic number.

200021122201100 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 200021122201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225030128400000).

200021122201100 is an abundant number, since it is smaller than the sum of its proper divisors (250039134598900).

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

200021122201100 is a wasteful number, since it uses less digits than its factorization.

200021122201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35700 (or 35693 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200021122201100 its reverse (1102221120002), we get a palindrome (201123343321102).

The spelling of 200021122201100 in words is "two hundred trillion, twenty-one billion, one hundred twenty-two million, two hundred one thousand, one hundred".