112321122097 has 2 divisors, whose sum is σ = 112321122098. Its totient is φ = 112321122096.

The previous prime is 112321122079. The next prime is 112321122113. The reversal of 112321122097 is 790221123211.

Together with previous prime (112321122079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97893268641 + 14427853456 = 312879^2 + 120116^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112321122097 is a prime.

It is not a weakly prime, because it can be changed into another prime (112321122007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56160561048 + 56160561049.

It is an arithmetic number, because the mean of its divisors is an integer number (56160561049).

Almost surely, 2^112321122097 is an apocalyptic number.

It is an amenable number.

112321122097 is a deficient number, since it is larger than the sum of its proper divisors (1).

112321122097 is an equidigital number, since it uses as much as digits as its factorization.

112321122097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 112321122097 in words is "one hundred twelve billion, three hundred twenty-one million, one hundred twenty-two thousand, ninety-seven".