112201222129 has 2 divisors, whose sum is σ = 112201222130. Its totient is φ = 112201222128.

The previous prime is 112201222087. The next prime is 112201222157. The reversal of 112201222129 is 921222102211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88553856400 + 23647365729 = 297580^2 + 153777^2 .

It is a cyclic number.

It is not a de Polignac number, because 112201222129 - 2²⁹ = 111664351217 is a prime.

It is a super-2 number, since 2×112201222129² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112201202129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56100611064 + 56100611065.

It is an arithmetic number, because the mean of its divisors is an integer number (56100611065).

Almost surely, 2^112201222129 is an apocalyptic number.

It is an amenable number.

112201222129 is a deficient number, since it is larger than the sum of its proper divisors (1).

112201222129 is an equidigital number, since it uses as much as digits as its factorization.

112201222129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 112201222129 in words is "one hundred twelve billion, two hundred one million, two hundred twenty-two thousand, one hundred twenty-nine".