200122001100 has 432 divisors, whose sum is σ = 756876556800. Its totient is φ = 43204700160.

The previous prime is 200122001069. The next prime is 200122001143. The reversal of 200122001100 is 1100221002.

200122001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42969972 + ... + 42974628.

Almost surely, 2^200122001100 is an apocalyptic number.

200122001100 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 200122001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378438278400).

200122001100 is an abundant number, since it is smaller than the sum of its proper divisors (556754555700).

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

200122001100 is a wasteful number, since it uses less digits than its factorization.

200122001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200122001100 its reverse (1100221002), we get a palindrome (201222222102).

The spelling of 200122001100 in words is "two hundred billion, one hundred twenty-two million, one thousand, one hundred".