112012221105817 has 2 divisors, whose sum is σ = 112012221105818. Its totient is φ = 112012221105816.

The previous prime is 112012221105769. The next prime is 112012221105821. The reversal of 112012221105817 is 718501122210211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109821261630096 + 2190959475721 = 10479564^2 + 1480189^2 .

It is an emirp because it is prime and its reverse (718501122210211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112012221105817 - 2³¹ = 112010073622169 is a prime.

It is a super-2 number, since 2×112012221105817² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112012221105017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56006110552908 + 56006110552909.

It is an arithmetic number, because the mean of its divisors is an integer number (56006110552909).

Almost surely, 2^{112012221105817} is an apocalyptic number.

It is an amenable number.

112012221105817 is a deficient number, since it is larger than the sum of its proper divisors (1).

112012221105817 is an equidigital number, since it uses as much as digits as its factorization.

112012221105817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4480, while the sum is 34.

The spelling of 112012221105817 in words is "one hundred twelve trillion, twelve billion, two hundred twenty-one million, one hundred five thousand, eight hundred seventeen".