112012120109993 has 2 divisors, whose sum is σ = 112012120109994. Its totient is φ = 112012120109992.

The previous prime is 112012120109921. The next prime is 112012120110013. The reversal of 112012120109993 is 399901021210211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110045806633984 + 1966313476009 = 10490272^2 + 1402253^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112012120109993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112012120109993.

It is not a weakly prime, because it can be changed into another prime (112012120109693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56006060054996 + 56006060054997.

It is an arithmetic number, because the mean of its divisors is an integer number (56006060054997).

Almost surely, 2^{112012120109993} is an apocalyptic number.

It is an amenable number.

112012120109993 is a deficient number, since it is larger than the sum of its proper divisors (1).

112012120109993 is an equidigital number, since it uses as much as digits as its factorization.

112012120109993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 41.

The spelling of 112012120109993 in words is "one hundred twelve trillion, twelve billion, one hundred twenty million, one hundred nine thousand, nine hundred ninety-three".