2011122167 has 2 divisors, whose sum is σ = 2011122168. Its totient is φ = 2011122166.

The previous prime is 2011122149. The next prime is 2011122173. The reversal of 2011122167 is 7612211102.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2011122167 - 2¹⁶ = 2011056631 is a prime.

It is a super-2 number, since 2×2011122167² = 8089224741197551778, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011122107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005561083 + 1005561084.

It is an arithmetic number, because the mean of its divisors is an integer number (1005561084).

Almost surely, 2^2011122167 is an apocalyptic number.

2011122167 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011122167 is an equidigital number, since it uses as much as digits as its factorization.

2011122167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 2011122167 is about 44845.5367567387. The cubic root of 2011122167 is about 1262.2522426218.

Adding to 2011122167 its reverse (7612211102), we get a palindrome (9623333269).

The spelling of 2011122167 in words is "two billion, eleven million, one hundred twenty-two thousand, one hundred sixty-seven".