112121202100129 has 2 divisors, whose sum is σ = 112121202100130. Its totient is φ = 112121202100128.

The previous prime is 112121202100099. The next prime is 112121202100139. The reversal of 112121202100129 is 921001202121211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89335615869504 + 22785586230625 = 9451752^2 + 4773425^2 .

It is a cyclic number.

It is not a de Polignac number, because 112121202100129 - 2¹⁵ = 112121202067361 is a prime.

It is not a weakly prime, because it can be changed into another prime (112121202100139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56060601050064 + 56060601050065.

It is an arithmetic number, because the mean of its divisors is an integer number (56060601050065).

Almost surely, 2^{112121202100129} is an apocalyptic number.

It is an amenable number.

112121202100129 is a deficient number, since it is larger than the sum of its proper divisors (1).

112121202100129 is an equidigital number, since it uses as much as digits as its factorization.

112121202100129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 112121202100129 in words is "one hundred twelve trillion, one hundred twenty-one billion, two hundred two million, one hundred thousand, one hundred twenty-nine".