201122102022200 has 96 divisors (see below), whose sum is σ = 472067309568000. Its totient is φ = 79683887687040.

The previous prime is 201122102022173. The next prime is 201122102022229. The reversal of 201122102022200 is 2220201221102.

It is a happy number.

201122102022200 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8895401 + ... + 21940199.

It is an arithmetic number, because the mean of its divisors is an integer number (4917367808000).

Almost surely, 2^{201122102022200} is an apocalyptic number.

201122102022200 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 201122102022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236033654784000).

201122102022200 is an abundant number, since it is smaller than the sum of its proper divisors (270945207545800).

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

201122102022200 is a wasteful number, since it uses less digits than its factorization.

201122102022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13045549 (or 13045540 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 201122102022200 its reverse (2220201221102), we get a palindrome (203342303243302).

The spelling of 201122102022200 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred two million, twenty-two thousand, two hundred".