1011112241 has 2 divisors, whose sum is σ = 1011112242. Its totient is φ = 1011112240.

The previous prime is 1011112199. The next prime is 1011112243. The reversal of 1011112241 is 1422111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 961000000 + 50112241 = 31000^2 + 7079^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011112241 - 2¹⁸ = 1010850097 is a prime.

It is a Sophie Germain prime.

Together with 1011112243, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1011112243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505556120 + 505556121.

It is an arithmetic number, because the mean of its divisors is an integer number (505556121).

Almost surely, 2^1011112241 is an apocalyptic number.

It is an amenable number.

1011112241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011112241 is an equidigital number, since it uses as much as digits as its factorization.

1011112241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

The square root of 1011112241 is about 31797.9911472407. The cubic root of 1011112241 is about 1003.6904442011.

Adding to 1011112241 its reverse (1422111101), we get a palindrome (2433223342).

The spelling of 1011112241 in words is "one billion, eleven million, one hundred twelve thousand, two hundred forty-one".