102210012022009 has 2 divisors, whose sum is σ = 102210012022010. Its totient is φ = 102210012022008.

The previous prime is 102210012021973. The next prime is 102210012022033. The reversal of 102210012022009 is 900220210012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74088574230784 + 28121437791225 = 8607472^2 + 5302965^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102210012022009 is a prime.

It is not a weakly prime, because it can be changed into another prime (102210012022709) 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, 51105006011004 + 51105006011005.

It is an arithmetic number, because the mean of its divisors is an integer number (51105006011005).

Almost surely, 2^{102210012022009} is an apocalyptic number.

It is an amenable number.

102210012022009 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210012022009 is an equidigital number, since it uses as much as digits as its factorization.

102210012022009 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 102210012022009 in words is "one hundred two trillion, two hundred ten billion, twelve million, twenty-two thousand, nine".