2011122110111 has 2 divisors, whose sum is σ = 2011122110112. Its totient is φ = 2011122110110.

The previous prime is 2011122110083. The next prime is 2011122110159. The reversal of 2011122110111 is 1110112211102.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011122110111 is a prime.

It is a super-2 number, since 2×2011122110111² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011122310111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005561055055 + 1005561055056.

It is an arithmetic number, because the mean of its divisors is an integer number (1005561055056).

Almost surely, 2^{2011122110111} is an apocalyptic number.

2011122110111 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011122110111 is an equidigital number, since it uses as much as digits as its factorization.

2011122110111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2011122110111 its reverse (1110112211102), we get a palindrome (3121234321213).

The spelling of 2011122110111 in words is "two trillion, eleven billion, one hundred twenty-two million, one hundred ten thousand, one hundred eleven".