100000001009 has 2 divisors, whose sum is σ = 100000001010. Its totient is φ = 100000001008.

The previous prime is 100000000951. The next prime is 100000001099. The reversal of 100000001009 is 900100000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58130656609 + 41869344400 = 241103^2 + 204620^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100000001009 is a prime.

It is not a weakly prime, because it can be changed into another prime (100000001099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000000504 + 50000000505.

It is an arithmetic number, because the mean of its divisors is an integer number (50000000505).

Almost surely, 2^100000001009 is an apocalyptic number.

It is an amenable number.

100000001009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000001009 is an equidigital number, since it uses as much as digits as its factorization.

100000001009 is an evil number, because the sum of its binary digits is even.

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

The spelling of 100000001009 in words is "one hundred billion, one thousand, nine".