10122201212200 has 96 divisors (see below), whose sum is σ = 29341237844160. Its totient is φ = 3154971801600.

The previous prime is 10122201212183. The next prime is 10122201212243. The reversal of 10122201212200 is 221210222101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328627497 + ... + 328658296.

It is an arithmetic number, because the mean of its divisors is an integer number (305637894210).

Almost surely, 2^{10122201212200} is an apocalyptic number.

10122201212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122201212200 is an abundant number, since it is smaller than the sum of its proper divisors (19219036631960).

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

10122201212200 is a wasteful number, since it uses less digits than its factorization.

10122201212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657285827 (or 657285818 counting only the distinct ones).

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

Adding to 10122201212200 its reverse (221210222101), we get a palindrome (10343411434301).

Subtracting from 10122201212200 its reverse (221210222101), we obtain a palindrome (9900990990099).

The spelling of 10122201212200 in words is "ten trillion, one hundred twenty-two billion, two hundred one million, two hundred twelve thousand, two hundred".