2111000009 has 2 divisors, whose sum is σ = 2111000010. Its totient is φ = 2111000008.

The previous prime is 2110999981. The next prime is 2111000029. The reversal of 2111000009 is 9000001112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1600240009 + 510760000 = 40003^2 + 22600^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111000009 - 2¹⁶ = 2110934473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2110999957 and 2111000002.

It is not a weakly prime, because it can be changed into another prime (2111000029) 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, 1055500004 + 1055500005.

It is an arithmetic number, because the mean of its divisors is an integer number (1055500005).

Almost surely, 2^2111000009 is an apocalyptic number.

It is an amenable number.

2111000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111000009 is an equidigital number, since it uses as much as digits as its factorization.

2111000009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 2111000009 is about 45945.6201285824. The cubic root of 2111000009 is about 1282.8112059992.

The spelling of 2111000009 in words is "two billion, one hundred eleven million, nine", and thus it is an aban number.