112012122110129 has 2 divisors, whose sum is σ = 112012122110130. Its totient is φ = 112012122110128.

The previous prime is 112012122110093. The next prime is 112012122110149. The reversal of 112012122110129 is 921011221210211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71492977443904 + 40519144666225 = 8455352^2 + 6365465^2 .

It is a cyclic number.

It is not a de Polignac number, because 112012122110129 - 2¹² = 112012122106033 is a prime.

It is a super-2 number, since 2×112012122110129² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112012122110098 and 112012122110107.

It is not a weakly prime, because it can be changed into another prime (112012122110149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56006061055064 + 56006061055065.

It is an arithmetic number, because the mean of its divisors is an integer number (56006061055065).

Almost surely, 2^{112012122110129} is an apocalyptic number.

It is an amenable number.

112012122110129 is a deficient number, since it is larger than the sum of its proper divisors (1).

112012122110129 is an equidigital number, since it uses as much as digits as its factorization.

112012122110129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 112012122110129 in words is "one hundred twelve trillion, twelve billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty-nine".