112112210220289 has 2 divisors, whose sum is σ = 112112210220290. Its totient is φ = 112112210220288.

The previous prime is 112112210220251. The next prime is 112112210220299. The reversal of 112112210220289 is 982022012211211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93634807074064 + 18477403146225 = 9676508^2 + 4298535^2 .

It is an emirp because it is prime and its reverse (982022012211211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112112210220289 - 2⁷ = 112112210220161 is a prime.

It is not a weakly prime, because it can be changed into another prime (112112210220209) 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, 56056105110144 + 56056105110145.

It is an arithmetic number, because the mean of its divisors is an integer number (56056105110145).

Almost surely, 2^{112112210220289} is an apocalyptic number.

It is an amenable number.

112112210220289 is a deficient number, since it is larger than the sum of its proper divisors (1).

112112210220289 is an equidigital number, since it uses as much as digits as its factorization.

112112210220289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 34.

The spelling of 112112210220289 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred ten million, two hundred twenty thousand, two hundred eighty-nine".