10100009 has 2 divisors, whose sum is σ = 10100010. Its totient is φ = 10100008.

The previous prime is 10099997. The next prime is 10100011. The reversal of 10100009 is 90000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9168784 + 931225 = 3028^2 + 965^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100009 - 2²⁰ = 9051433 is a prime.

Together with 10100011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10100089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050004 + 5050005.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005).

Almost surely, 2^10100009 is an apocalyptic number.

It is an amenable number.

10100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100009 is an equidigital number, since it uses as much as digits as its factorization.

10100009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 10100009 is about 3178.0511323766. The cubic root of 10100009 is about 216.1592975002.

The spelling of 10100009 in words is "ten million, one hundred thousand, nine".