10221121122200 has 48 divisors (see below), whose sum is σ = 24118794799080. Its totient is φ = 4027426824960.

The previous prime is 10221121122169. The next prime is 10221121122203. The reversal of 10221121122200 is 222112112201.

10221121122200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221121122203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 381371717 + ... + 381398516.

Almost surely, 2^{10221121122200} is an apocalyptic number.

10221121122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221121122200 is an abundant number, since it is smaller than the sum of its proper divisors (13897673676880).

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

10221121122200 is a wasteful number, since it uses less digits than its factorization.

10221121122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762770316 (or 762770307 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10221121122200 its reverse (222112112201), we get a palindrome (10443233234401).

Subtracting from 10221121122200 its reverse (222112112201), we obtain a palindrome (9999009009999).

The spelling of 10221121122200 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred".