112122010985729 has 2 divisors, whose sum is σ = 112122010985730. Its totient is φ = 112122010985728.

The previous prime is 112122010985713. The next prime is 112122010985819. The reversal of 112122010985729 is 927589010221211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79077356577025 + 33044654408704 = 8892545^2 + 5748448^2 .

It is a cyclic number.

It is not a de Polignac number, because 112122010985729 - 2⁴ = 112122010985713 is a prime.

It is a super-2 number, since 2×112122010985729² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112122010985329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56061005492864 + 56061005492865.

It is an arithmetic number, because the mean of its divisors is an integer number (56061005492865).

Almost surely, 2^{112122010985729} is an apocalyptic number.

It is an amenable number.

112122010985729 is a deficient number, since it is larger than the sum of its proper divisors (1).

112122010985729 is an equidigital number, since it uses as much as digits as its factorization.

112122010985729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 50.

The spelling of 112122010985729 in words is "one hundred twelve trillion, one hundred twenty-two billion, ten million, nine hundred eighty-five thousand, seven hundred twenty-nine".