112112111211193 has 2 divisors, whose sum is σ = 112112111211194. Its totient is φ = 112112111211192.

The previous prime is 112112111211187. The next prime is 112112111211209. The reversal of 112112111211193 is 391112111211211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106758241782544 + 5353869428649 = 10332388^2 + 2313843^2 .

It is a cyclic number.

It is not a de Polignac number, because 112112111211193 - 2⁵ = 112112111211161 is a prime.

It is a super-2 number, since 2×112112111211193² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112112111211103) 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, 56056055605596 + 56056055605597.

It is an arithmetic number, because the mean of its divisors is an integer number (56056055605597).

Almost surely, 2^{112112111211193} is an apocalyptic number.

It is an amenable number.

112112111211193 is a deficient number, since it is larger than the sum of its proper divisors (1).

112112111211193 is an equidigital number, since it uses as much as digits as its factorization.

112112111211193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 28.

The spelling of 112112111211193 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred eleven million, two hundred eleven thousand, one hundred ninety-three".