102112022220289 has 2 divisors, whose sum is σ = 102112022220290. Its totient is φ = 102112022220288.

The previous prime is 102112022220203. The next prime is 102112022220317. The reversal of 102112022220289 is 982022220211201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88972905177025 + 13139117043264 = 9432545^2 + 3624792^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102112022220289 is a prime.

It is not a weakly prime, because it can be changed into another prime (102112022220389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056011110144 + 51056011110145.

It is an arithmetic number, because the mean of its divisors is an integer number (51056011110145).

Almost surely, 2^{102112022220289} is an apocalyptic number.

It is an amenable number.

102112022220289 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112022220289 is an equidigital number, since it uses as much as digits as its factorization.

102112022220289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 102112022220289 in words is "one hundred two trillion, one hundred twelve billion, twenty-two million, two hundred twenty thousand, two hundred eighty-nine".