1010111000009 has 2 divisors, whose sum is σ = 1010111000010. Its totient is φ = 1010111000008.

The previous prime is 1010110999991. The next prime is 1010111000071. The reversal of 1010111000009 is 9000001110101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 970230910009 + 39880090000 = 985003^2 + 199700^2 .

It is an emirp because it is prime and its reverse (9000001110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010111000009 - 2³⁶ = 941391523273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010110999957 and 1010111000002.

It is not a weakly prime, because it can be changed into another prime (1010111000099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055500004 + 505055500005.

It is an arithmetic number, because the mean of its divisors is an integer number (505055500005).

Almost surely, 2^{1010111000009} is an apocalyptic number.

It is an amenable number.

1010111000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010111000009 is an equidigital number, since it uses as much as digits as its factorization.

1010111000009 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 1010111000009 in words is "one trillion, ten billion, one hundred eleven million, nine", and thus it is an aban number.