22100102009 has 2 divisors, whose sum is σ = 22100102010. Its totient is φ = 22100102008.

The previous prime is 22100101993. The next prime is 22100102029. The reversal of 22100102009 is 90020100122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14369296384 + 7730805625 = 119872^2 + 87925^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100102009 - 2⁴ = 22100101993 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 (22100102029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050051004 + 11050051005.

It is an arithmetic number, because the mean of its divisors is an integer number (11050051005).

Almost surely, 2^22100102009 is an apocalyptic number.

It is an amenable number.

22100102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100102009 is an equidigital number, since it uses as much as digits as its factorization.

22100102009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 22100102009 in words is "twenty-two billion, one hundred million, one hundred two thousand, nine".