1011101000009 has 2 divisors, whose sum is σ = 1011101000010. Its totient is φ = 1011101000008.

The previous prime is 1011100999939. The next prime is 1011101000051. The reversal of 1011101000009 is 9000001011101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 938470750009 + 72630250000 = 968747^2 + 269500^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011101000009 - 2²⁴ = 1011084222793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011100999957 and 1011101000002.

It is not a weakly prime, because it can be changed into another prime (1011101003009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505550500004 + 505550500005.

It is an arithmetic number, because the mean of its divisors is an integer number (505550500005).

Almost surely, 2^{1011101000009} is an apocalyptic number.

It is an amenable number.

1011101000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011101000009 is an equidigital number, since it uses as much as digits as its factorization.

1011101000009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 1011101000009 in words is "one trillion, eleven billion, one hundred one million, nine", and thus it is an aban number.