100000102009 has 2 divisors, whose sum is σ = 100000102010. Its totient is φ = 100000102008.

The previous prime is 100000101973. The next prime is 100000102151. The reversal of 100000102009 is 900201000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59194890000 + 40805212009 = 243300^2 + 202003^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000102009 - 2⁹ = 100000101497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100000102009.

It is not a weakly prime, because it can be changed into another prime (100000100009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000051004 + 50000051005.

It is an arithmetic number, because the mean of its divisors is an integer number (50000051005).

Almost surely, 2^100000102009 is an apocalyptic number.

It is an amenable number.

100000102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000102009 is an equidigital number, since it uses as much as digits as its factorization.

100000102009 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 100000102009 in words is "one hundred billion, one hundred two thousand, nine".