10001000101009 has 2 divisors, whose sum is σ = 10001000101010. Its totient is φ = 10001000101008.

The previous prime is 10001000100991. The next prime is 10001000101019. The reversal of 10001000101009 is 90010100010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9467036691025 + 533963409984 = 3076855^2 + 730728^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001000101009 - 2¹⁹ = 10000999576721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10001000101009.

It is not a weakly prime, because it can be changed into another prime (10001000101019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000500050504 + 5000500050505.

It is an arithmetic number, because the mean of its divisors is an integer number (5000500050505).

Almost surely, 2^{10001000101009} is an apocalyptic number.

It is an amenable number.

10001000101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001000101009 is an equidigital number, since it uses as much as digits as its factorization.

10001000101009 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 13.

The spelling of 10001000101009 in words is "ten trillion, one billion, one hundred one thousand, nine".