112210331210129 has 2 divisors, whose sum is σ = 112210331210130. Its totient is φ = 112210331210128.

The previous prime is 112210331209967. The next prime is 112210331210167. The reversal of 112210331210129 is 921012133012211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110202272166529 + 2008059043600 = 10497727^2 + 1417060^2 .

It is a cyclic number.

It is not a de Polignac number, because 112210331210129 - 2¹² = 112210331206033 is a prime.

It is not a weakly prime, because it can be changed into another prime (112210331210179) by changing a digit.

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 as a sum of consecutive naturals, namely, 56105165605064 + 56105165605065.

It is an arithmetic number, because the mean of its divisors is an integer number (56105165605065).

Almost surely, 2^{112210331210129} is an apocalyptic number.

It is an amenable number.

112210331210129 is a deficient number, since it is larger than the sum of its proper divisors (1).

112210331210129 is an equidigital number, since it uses as much as digits as its factorization.

112210331210129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 112210331210129 in words is "one hundred twelve trillion, two hundred ten billion, three hundred thirty-one million, two hundred ten thousand, one hundred twenty-nine".