112100122211993 has 2 divisors, whose sum is σ = 112100122211994. Its totient is φ = 112100122211992.

The previous prime is 112100122211953. The next prime is 112100122212041. The reversal of 112100122211993 is 399112221001211.

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., 89836521673369 + 22263600538624 = 9478213^2 + 4718432^2 .

It is a cyclic number.

It is not a de Polignac number, because 112100122211993 - 2¹⁰ = 112100122210969 is a prime.

It is not a weakly prime, because it can be changed into another prime (112100122211953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56050061105996 + 56050061105997.

It is an arithmetic number, because the mean of its divisors is an integer number (56050061105997).

Almost surely, 2^{112100122211993} is an apocalyptic number.

It is an amenable number.

112100122211993 is a deficient number, since it is larger than the sum of its proper divisors (1).

112100122211993 is an equidigital number, since it uses as much as digits as its factorization.

112100122211993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 35.

The spelling of 112100122211993 in words is "one hundred twelve trillion, one hundred billion, one hundred twenty-two million, two hundred eleven thousand, nine hundred ninety-three".