102121122209 has 2 divisors, whose sum is σ = 102121122210. Its totient is φ = 102121122208.

The previous prime is 102121122163. The next prime is 102121122223. The reversal of 102121122209 is 902221121201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101108100625 + 1013021584 = 317975^2 + 31828^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102121122209 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (102121122289) 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, 51060561104 + 51060561105.

It is an arithmetic number, because the mean of its divisors is an integer number (51060561105).

Almost surely, 2^102121122209 is an apocalyptic number.

It is an amenable number.

102121122209 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121122209 is an equidigital number, since it uses as much as digits as its factorization.

102121122209 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 23.

The spelling of 102121122209 in words is "one hundred two billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred nine".