1000101003809 has 2 divisors, whose sum is σ = 1000101003810. Its totient is φ = 1000101003808.

The previous prime is 1000101003791. The next prime is 1000101003817. The reversal of 1000101003809 is 9083001010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 573763830784 + 426337173025 = 757472^2 + 652945^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000101003809 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1000101000809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050501904 + 500050501905.

It is an arithmetic number, because the mean of its divisors is an integer number (500050501905).

Almost surely, 2^{1000101003809} is an apocalyptic number.

It is an amenable number.

1000101003809 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000101003809 is an equidigital number, since it uses as much as digits as its factorization.

1000101003809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 1000101003809 in words is "one trillion, one hundred one million, three thousand, eight hundred nine".