10222122012200 has 48 divisors (see below), whose sum is σ = 27161638493280. Its totient is φ = 3504727546560.

The previous prime is 10222122012149. The next prime is 10222122012217. The reversal of 10222122012200 is 221022122201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3650756462 + ... + 3650759261.

It is an arithmetic number, because the mean of its divisors is an integer number (565867468610).

Almost surely, 2^{10222122012200} is an apocalyptic number.

10222122012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222122012200 is an abundant number, since it is smaller than the sum of its proper divisors (16939516481080).

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

10222122012200 is a wasteful number, since it uses less digits than its factorization.

10222122012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7301515746 (or 7301515737 counting only the distinct ones).

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

Adding to 10222122012200 its reverse (221022122201), we get a palindrome (10443144134401).

The spelling of 10222122012200 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty-two million, twelve thousand, two hundred".