111101111005873 has 2 divisors, whose sum is σ = 111101111005874. Its totient is φ = 111101111005872.

The previous prime is 111101111005823. The next prime is 111101111005877. The reversal of 111101111005873 is 378500111101111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106118697740449 + 4982413265424 = 10301393^2 + 2232132^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111101111005873 is a prime.

It is not a weakly prime, because it can be changed into another prime (111101111005877) 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, 55550555502936 + 55550555502937.

It is an arithmetic number, because the mean of its divisors is an integer number (55550555502937).

Almost surely, 2^{111101111005873} is an apocalyptic number.

It is an amenable number.

111101111005873 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101111005873 is an equidigital number, since it uses as much as digits as its factorization.

111101111005873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 31.

Adding to 111101111005873 its reverse (378500111101111), we get a palindrome (489601222106984).

The spelling of 111101111005873 in words is "one hundred eleven trillion, one hundred one billion, one hundred eleven million, five thousand, eight hundred seventy-three".