111111001001093 has 2 divisors, whose sum is σ = 111111001001094. Its totient is φ = 111111001001092.

The previous prime is 111111001001053. The next prime is 111111001001107. The reversal of 111111001001093 is 390100100111111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97883973938689 + 13227027062404 = 9893633^2 + 3636898^2 .

It is a cyclic number.

It is not a de Polignac number, because 111111001001093 - 2²⁰ = 111110999952517 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111111001001053) 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, 55555500500546 + 55555500500547.

It is an arithmetic number, because the mean of its divisors is an integer number (55555500500547).

Almost surely, 2^{111111001001093} is an apocalyptic number.

It is an amenable number.

111111001001093 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111001001093 is an equidigital number, since it uses as much as digits as its factorization.

111111001001093 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 20.

The spelling of 111111001001093 in words is "one hundred eleven trillion, one hundred eleven billion, one million, one thousand, ninety-three".