102220221010009 has 2 divisors, whose sum is σ = 102220221010010. Its totient is φ = 102220221010008.

The previous prime is 102220221009979. The next prime is 102220221010027. The reversal of 102220221010009 is 900010122022201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93059592627600 + 9160628382409 = 9646740^2 + 3026653^2 .

It is a cyclic number.

It is not a de Polignac number, because 102220221010009 - 2¹⁵ = 102220220977241 is a prime.

It is not a weakly prime, because it can be changed into another prime (102220221016009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110110505004 + 51110110505005.

It is an arithmetic number, because the mean of its divisors is an integer number (51110110505005).

Almost surely, 2^{102220221010009} is an apocalyptic number.

It is an amenable number.

102220221010009 is a deficient number, since it is larger than the sum of its proper divisors (1).

102220221010009 is an equidigital number, since it uses as much as digits as its factorization.

102220221010009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 102220221010009 in words is "one hundred two trillion, two hundred twenty billion, two hundred twenty-one million, ten thousand, nine".