1101181121 has 2 divisors, whose sum is σ = 1101181122. Its totient is φ = 1101181120.

The previous prime is 1101181057. The next prime is 1101181187. The reversal of 1101181121 is 1211811011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 712302721 + 388878400 = 26689^2 + 19720^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101181121 - 2⁶ = 1101181057 is a prime.

It is a super-2 number, since 2×1101181121² = 2425199722493633282, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1101181121.

It is not a weakly prime, because it can be changed into another prime (1101181621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550590560 + 550590561.

It is an arithmetic number, because the mean of its divisors is an integer number (550590561).

Almost surely, 2^1101181121 is an apocalyptic number.

It is an amenable number.

1101181121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101181121 is an equidigital number, since it uses as much as digits as its factorization.

1101181121 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 17.

The square root of 1101181121 is about 33184.0491953589. The cubic root of 1101181121 is about 1032.6494523033.

Adding to 1101181121 its reverse (1211811011), we get a palindrome (2312992132).

The spelling of 1101181121 in words is "one billion, one hundred one million, one hundred eighty-one thousand, one hundred twenty-one".