111101091010993 has 2 divisors, whose sum is σ = 111101091010994. Its totient is φ = 111101091010992.

The previous prime is 111101091010969. The next prime is 111101091011011. The reversal of 111101091010993 is 399010190101111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102825440722944 + 8275650288049 = 10140288^2 + 2876743^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111101091010993 is a prime.

It is not a weakly prime, because it can be changed into another prime (111101091010963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550545505496 + 55550545505497.

It is an arithmetic number, because the mean of its divisors is an integer number (55550545505497).

Almost surely, 2^{111101091010993} is an apocalyptic number.

It is an amenable number.

111101091010993 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101091010993 is an equidigital number, since it uses as much as digits as its factorization.

111101091010993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2187, while the sum is 37.

The spelling of 111101091010993 in words is "one hundred eleven trillion, one hundred one billion, ninety-one million, ten thousand, nine hundred ninety-three".