102202210103009 has 2 divisors, whose sum is σ = 102202210103010. Its totient is φ = 102202210103008.

The previous prime is 102202210102981. The next prime is 102202210103023. The reversal of 102202210103009 is 900301012202201.

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., 101042141088784 + 1160069014225 = 10051972^2 + 1077065^2 .

It is an emirp because it is prime and its reverse (900301012202201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102202210103009 - 2¹² = 102202210098913 is a prime.

It is not a weakly prime, because it can be changed into another prime (102202210103029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101105051504 + 51101105051505.

It is an arithmetic number, because the mean of its divisors is an integer number (51101105051505).

Almost surely, 2^{102202210103009} is an apocalyptic number.

It is an amenable number.

102202210103009 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202210103009 is an equidigital number, since it uses as much as digits as its factorization.

102202210103009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 102202210103009 in words is "one hundred two trillion, two hundred two billion, two hundred ten million, one hundred three thousand, nine".