10102009 has 2 divisors, whose sum is σ = 10102010. Its totient is φ = 10102008.

The previous prime is 10102007. The next prime is 10102019. The reversal of 10102009 is 90020101.

10102009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7683984 + 2418025 = 2772^2 + 1555^2 .

It is an emirp because it is prime and its reverse (90020101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10102009 - 2¹ = 10102007 is a prime.

Together with 10102007, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10102009.

It is not a weakly prime, because it can be changed into another prime (10102003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051004 + 5051005.

It is an arithmetic number, because the mean of its divisors is an integer number (5051005).

Almost surely, 2^10102009 is an apocalyptic number.

It is an amenable number.

10102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102009 is an equidigital number, since it uses as much as digits as its factorization.

10102009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 10102009 is about 3178.3657750486. The cubic root of 10102009 is about 216.1735644862.

The spelling of 10102009 in words is "ten million, one hundred two thousand, nine".