20101221122200 has 48 divisors (see below), whose sum is σ = 46743155858160. Its totient is φ = 8039143632000.

The previous prime is 20101221122161. The next prime is 20101221122207. The reversal of 20101221122200 is 222112210102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101221122207) 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, 7205916 + ... + 9598315.

It is an arithmetic number, because the mean of its divisors is an integer number (973815747045).

Almost surely, 2^{20101221122200} is an apocalyptic number.

20101221122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101221122200 is an abundant number, since it is smaller than the sum of its proper divisors (26641934735960).

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

20101221122200 is a wasteful number, since it uses less digits than its factorization.

20101221122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16810228 (or 16810219 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20101221122200 its reverse (222112210102), we get a palindrome (20323333332302).

The spelling of 20101221122200 in words is "twenty trillion, one hundred one billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred".