2111111291 has 2 divisors, whose sum is σ = 2111111292. Its totient is φ = 2111111290.

The previous prime is 2111111213. The next prime is 2111111293. The reversal of 2111111291 is 1921111112.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2111111291 - 2¹⁴ = 2111094907 is a prime.

Together with 2111111293, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2111111293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055555645 + 1055555646.

It is an arithmetic number, because the mean of its divisors is an integer number (1055555646).

Almost surely, 2^2111111291 is an apocalyptic number.

2111111291 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111111291 is an equidigital number, since it uses as much as digits as its factorization.

2111111291 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36, while the sum is 20.

The square root of 2111111291 is about 45946.8311312108. The cubic root of 2111111291 is about 1282.8337468626.

The spelling of 2111111291 in words is "two billion, one hundred eleven million, one hundred eleven thousand, two hundred ninety-one".