22121120010200 has 192 divisors, whose sum is σ = 53192619025920. Its totient is φ = 8550037440000.

The previous prime is 22121120010181. The next prime is 22121120010211. The reversal of 22121120010200 is 201002112122.

It is a congruent number.

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, 1121352737 + ... + 1121372463.

It is an arithmetic number, because the mean of its divisors is an integer number (277044890760).

Almost surely, 2^{22121120010200} is an apocalyptic number.

22121120010200 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 22121120010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26596309512960).

22121120010200 is an abundant number, since it is smaller than the sum of its proper divisors (31071499015720).

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

22121120010200 is a wasteful number, since it uses less digits than its factorization.

22121120010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21178 (or 21169 counting only the distinct ones).

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

Adding to 22121120010200 its reverse (201002112122), we get a palindrome (22322122122322).

The spelling of 22121120010200 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty million, ten thousand, two hundred".