2011011101167 has 2 divisors, whose sum is σ = 2011011101168. Its totient is φ = 2011011101166.

The previous prime is 2011011101129. The next prime is 2011011101249. The reversal of 2011011101167 is 7611011101102.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2011011101167 - 2²⁷ = 2010876883439 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011011102167) 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, 1005505550583 + 1005505550584.

It is an arithmetic number, because the mean of its divisors is an integer number (1005505550584).

Almost surely, 2^{2011011101167} is an apocalyptic number.

2011011101167 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011011101167 is an equidigital number, since it uses as much as digits as its factorization.

2011011101167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 22.

Adding to 2011011101167 its reverse (7611011101102), we get a palindrome (9622022202269).

The spelling of 2011011101167 in words is "two trillion, eleven billion, eleven million, one hundred one thousand, one hundred sixty-seven".