102222112009 has 2 divisors, whose sum is σ = 102222112010. Its totient is φ = 102222112008.

The previous prime is 102222111949. The next prime is 102222112033. The reversal of 102222112009 is 900211222201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101722723600 + 499388409 = 318940^2 + 22347^2 .

It is an emirp because it is prime and its reverse (900211222201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102222112009 - 2¹⁵ = 102222079241 is a prime.

It is not a weakly prime, because it can be changed into another prime (102222112039) 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, 51111056004 + 51111056005.

It is an arithmetic number, because the mean of its divisors is an integer number (51111056005).

Almost surely, 2^102222112009 is an apocalyptic number.

It is an amenable number.

102222112009 is a deficient number, since it is larger than the sum of its proper divisors (1).

102222112009 is an equidigital number, since it uses as much as digits as its factorization.

102222112009 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 102222112009 in words is "one hundred two billion, two hundred twenty-two million, one hundred twelve thousand, nine".