1121111101193 has 2 divisors, whose sum is σ = 1121111101194. Its totient is φ = 1121111101192.

The previous prime is 1121111101163. The next prime is 1121111101217. The reversal of 1121111101193 is 3911011111211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 952804397689 + 168306703504 = 976117^2 + 410252^2 .

It is a cyclic number.

It is not a de Polignac number, because 1121111101193 - 2¹² = 1121111097097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1121111101153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 560555550596 + 560555550597.

It is an arithmetic number, because the mean of its divisors is an integer number (560555550597).

Almost surely, 2^{1121111101193} is an apocalyptic number.

It is an amenable number.

1121111101193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121111101193 is an equidigital number, since it uses as much as digits as its factorization.

1121111101193 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 1121111101193 in words is "one trillion, one hundred twenty-one billion, one hundred eleven million, one hundred one thousand, one hundred ninety-three".