112121020129 has 2 divisors, whose sum is σ = 112121020130. Its totient is φ = 112121020128.

The previous prime is 112121020051. The next prime is 112121020139. The reversal of 112121020129 is 921020121211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95402530129 + 16718490000 = 308873^2 + 129300^2 .

It is a cyclic number.

It is not a de Polignac number, because 112121020129 - 2¹⁵ = 112120987361 is a prime.

It is a super-2 number, since 2×112121020129² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112121020139) 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, 56060510064 + 56060510065.

It is an arithmetic number, because the mean of its divisors is an integer number (56060510065).

Almost surely, 2^112121020129 is an apocalyptic number.

It is an amenable number.

112121020129 is a deficient number, since it is larger than the sum of its proper divisors (1).

112121020129 is an equidigital number, since it uses as much as digits as its factorization.

112121020129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 112121020129 in words is "one hundred twelve billion, one hundred twenty-one million, twenty thousand, one hundred twenty-nine".