102000000010009 has 2 divisors, whose sum is σ = 102000000010010. Its totient is φ = 102000000010008.

The previous prime is 102000000009871. The next prime is 102000000010043. The reversal of 102000000010009 is 900010000000201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57735728150409 + 44264271859600 = 7598403^2 + 6653140^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000000010009 - 2²⁷ = 101999865792281 is a prime.

It is not a weakly prime, because it can be changed into another prime (102000000010309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000000005004 + 51000000005005.

It is an arithmetic number, because the mean of its divisors is an integer number (51000000005005).

Almost surely, 2^{102000000010009} is an apocalyptic number.

It is an amenable number.

102000000010009 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000000010009 is an equidigital number, since it uses as much as digits as its factorization.

102000000010009 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 spelling of 102000000010009 in words is "one hundred two trillion, ten thousand, nine".