20102110022009 has 2 divisors, whose sum is σ = 20102110022010. Its totient is φ = 20102110022008.

The previous prime is 20102110021801. The next prime is 20102110022051. The reversal of 20102110022009 is 90022001120102.

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., 20049152506384 + 52957515625 = 4477628^2 + 230125^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20102110022009 is a prime.

It is not a weakly prime, because it can be changed into another prime (20102110022509) 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, 10051055011004 + 10051055011005.

It is an arithmetic number, because the mean of its divisors is an integer number (10051055011005).

Almost surely, 2^{20102110022009} is an apocalyptic number.

It is an amenable number.

20102110022009 is a deficient number, since it is larger than the sum of its proper divisors (1).

20102110022009 is an equidigital number, since it uses as much as digits as its factorization.

20102110022009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 20102110022009 in words is "twenty trillion, one hundred two billion, one hundred ten million, twenty-two thousand, nine".