111010111111093 has 2 divisors, whose sum is σ = 111010111111094. Its totient is φ = 111010111111092.

The previous prime is 111010111111051. The next prime is 111010111111153. The reversal of 111010111111093 is 390111111010111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110407598280004 + 602512831089 = 10507502^2 + 776217^2 .

It is an emirp because it is prime and its reverse (390111111010111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111010111111093 - 2⁴⁵ = 75825739022261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111010111111793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505055555546 + 55505055555547.

It is an arithmetic number, because the mean of its divisors is an integer number (55505055555547).

Almost surely, 2^{111010111111093} is an apocalyptic number.

It is an amenable number.

111010111111093 is a deficient number, since it is larger than the sum of its proper divisors (1).

111010111111093 is an equidigital number, since it uses as much as digits as its factorization.

111010111111093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 22.

The spelling of 111010111111093 in words is "one hundred eleven trillion, ten billion, one hundred eleven million, one hundred eleven thousand, ninety-three".