102212201312009 has 2 divisors, whose sum is σ = 102212201312010. Its totient is φ = 102212201312008.

The previous prime is 102212201311919. The next prime is 102212201312101. The reversal of 102212201312009 is 900213102212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66625345129225 + 35586856182784 = 8162435^2 + 5965472^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212201312009 - 2¹² = 102212201307913 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 (102212201312909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106100656004 + 51106100656005.

It is an arithmetic number, because the mean of its divisors is an integer number (51106100656005).

Almost surely, 2^{102212201312009} is an apocalyptic number.

It is an amenable number.

102212201312009 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212201312009 is an equidigital number, since it uses as much as digits as its factorization.

102212201312009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 102212201312009 in words is "one hundred two trillion, two hundred twelve billion, two hundred one million, three hundred twelve thousand, nine".