200122210100 has 72 divisors (see below), whose sum is σ = 457793511840. Its totient is φ = 75724260480.

The previous prime is 200122210091. The next prime is 200122210207. The reversal of 200122210100 is 1012221002.

It is a happy number.

200122210100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1220594 + ... + 1374806.

It is an arithmetic number, because the mean of its divisors is an integer number (6358243220).

Almost surely, 2^200122210100 is an apocalyptic number.

200122210100 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 200122210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228896755920).

200122210100 is an abundant number, since it is smaller than the sum of its proper divisors (257671301740).

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

200122210100 is a wasteful number, since it uses less digits than its factorization.

200122210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154929 (or 154922 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200122210100 its reverse (1012221002), we get a palindrome (201134431102).

The spelling of 200122210100 in words is "two hundred billion, one hundred twenty-two million, two hundred ten thousand, one hundred".