1000101011009 has 2 divisors, whose sum is σ = 1000101011010. Its totient is φ = 1000101011008.

The previous prime is 1000101010999. The next prime is 1000101011017. The reversal of 1000101011009 is 9001101010001.

It is a happy number.

1000101011009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 998194815409 + 1906195600 = 999097^2 + 43660^2 .

It is an emirp because it is prime and its reverse (9001101010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000101011009 - 2²⁴ = 1000084233793 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1000101010984 and 1000101011002.

It is not a weakly prime, because it can be changed into another prime (1000101011059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050505504 + 500050505505.

It is an arithmetic number, because the mean of its divisors is an integer number (500050505505).

Almost surely, 2^{1000101011009} is an apocalyptic number.

It is an amenable number.

1000101011009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000101011009 is an equidigital number, since it uses as much as digits as its factorization.

1000101011009 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 14.

The spelling of 1000101011009 in words is "one trillion, one hundred one million, eleven thousand, nine".