111101011011041 has 2 divisors, whose sum is σ = 111101011011042. Its totient is φ = 111101011011040.

The previous prime is 111101011011037. The next prime is 111101011011043. The reversal of 111101011011041 is 140110110101111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109749614061025 + 1351396950016 = 10476145^2 + 1162496^2 .

It is an emirp because it is prime and its reverse (140110110101111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111101011011041 - 2² = 111101011011037 is a prime.

Together with 111101011011043, 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 (111101011011043) 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, 55550505505520 + 55550505505521.

It is an arithmetic number, because the mean of its divisors is an integer number (55550505505521).

Almost surely, 2^{111101011011041} is an apocalyptic number.

It is an amenable number.

111101011011041 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101011011041 is an equidigital number, since it uses as much as digits as its factorization.

111101011011041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 111101011011041 its reverse (140110110101111), we get a palindrome (251211121112152).

The spelling of 111101011011041 in words is "one hundred eleven trillion, one hundred one billion, eleven million, eleven thousand, forty-one".