102212312009 has 2 divisors, whose sum is σ = 102212312010. Its totient is φ = 102212312008.

The previous prime is 102212311991. The next prime is 102212312023. The reversal of 102212312009 is 900213212201.

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., 102098142784 + 114169225 = 319528^2 + 10685^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212312009 - 2¹⁶ = 102212246473 is a prime.

It is not a weakly prime, because it can be changed into another prime (102212312029) 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, 51106156004 + 51106156005.

It is an arithmetic number, because the mean of its divisors is an integer number (51106156005).

Almost surely, 2^102212312009 is an apocalyptic number.

It is an amenable number.

102212312009 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212312009 is an equidigital number, since it uses as much as digits as its factorization.

102212312009 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 102212312009 in words is "one hundred two billion, two hundred twelve million, three hundred twelve thousand, nine".