111120101011193 has 2 divisors, whose sum is σ = 111120101011194. Its totient is φ = 111120101011192.

The previous prime is 111120101011151. The next prime is 111120101011243. The reversal of 111120101011193 is 391110101021111.

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., 73979815727104 + 37140285284089 = 8601152^2 + 6094283^2 .

It is a cyclic number.

It is not a de Polignac number, because 111120101011193 - 2⁴⁰ = 110020589383417 is a prime.

It is a super-2 number, since 2×111120101011193² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111120101011793) 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, 55560050505596 + 55560050505597.

It is an arithmetic number, because the mean of its divisors is an integer number (55560050505597).

Almost surely, 2^{111120101011193} is an apocalyptic number.

It is an amenable number.

111120101011193 is a deficient number, since it is larger than the sum of its proper divisors (1).

111120101011193 is an equidigital number, since it uses as much as digits as its factorization.

111120101011193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 23.

The spelling of 111120101011193 in words is "one hundred eleven trillion, one hundred twenty billion, one hundred one million, eleven thousand, one hundred ninety-three".