10010102009 has 2 divisors, whose sum is σ = 10010102010. Its totient is φ = 10010102008.

The previous prime is 10010101991. The next prime is 10010102017. The reversal of 10010102009 is 90020101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6968910400 + 3041191609 = 83480^2 + 55147^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010102009 - 2⁸ = 10010101753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010101984 and 10010102002.

It is not a weakly prime, because it can be changed into another prime (10010102099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005051004 + 5005051005.

It is an arithmetic number, because the mean of its divisors is an integer number (5005051005).

Almost surely, 2^10010102009 is an apocalyptic number.

It is an amenable number.

10010102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010102009 is an equidigital number, since it uses as much as digits as its factorization.

10010102009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 10010102009 in words is "ten billion, ten million, one hundred two thousand, nine".