111011122012111 has 2 divisors, whose sum is σ = 111011122012112. Its totient is φ = 111011122012110.

The previous prime is 111011122012079. The next prime is 111011122012117. The reversal of 111011122012111 is 111210221110111.

It is a strong prime.

It is an emirp because it is prime and its reverse (111210221110111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111011122012111 - 2⁵ = 111011122012079 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111011122012117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505561006055 + 55505561006056.

It is an arithmetic number, because the mean of its divisors is an integer number (55505561006056).

Almost surely, 2^{111011122012111} is an apocalyptic number.

111011122012111 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011122012111 is an equidigital number, since it uses as much as digits as its factorization.

111011122012111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 111011122012111 its reverse (111210221110111), we get a palindrome (222221343122222).

The spelling of 111011122012111 in words is "one hundred eleven trillion, eleven billion, one hundred twenty-two million, twelve thousand, one hundred eleven".