1011011122193 has 2 divisors, whose sum is σ = 1011011122194. Its totient is φ = 1011011122192.

The previous prime is 1011011122157. The next prime is 1011011122249. The reversal of 1011011122193 is 3912211101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 564403607824 + 446607514369 = 751268^2 + 668287^2 .

It is an emirp because it is prime and its reverse (3912211101101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011011122193 - 2³⁰ = 1009937380369 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 (1011011122493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505505561096 + 505505561097.

It is an arithmetic number, because the mean of its divisors is an integer number (505505561097).

Almost surely, 2^{1011011122193} is an apocalyptic number.

It is an amenable number.

1011011122193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011011122193 is an equidigital number, since it uses as much as digits as its factorization.

1011011122193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 23.

Adding to 1011011122193 its reverse (3912211101101), we get a palindrome (4923222223294).

The spelling of 1011011122193 in words is "one trillion, eleven billion, eleven million, one hundred twenty-two thousand, one hundred ninety-three".