11000001121 has 2 divisors, whose sum is σ = 11000001122. Its totient is φ = 11000001120.

The previous prime is 11000001109. The next prime is 11000001127. The reversal of 11000001121 is 12110000011.

11000001121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8567538721 + 2432462400 = 92561^2 + 49320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11000001121 is a prime.

It is not a weakly prime, because it can be changed into another prime (11000001127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500000560 + 5500000561.

It is an arithmetic number, because the mean of its divisors is an integer number (5500000561).

Almost surely, 2^11000001121 is an apocalyptic number.

It is an amenable number.

11000001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000001121 is an equidigital number, since it uses as much as digits as its factorization.

11000001121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11000001121 its reverse (12110000011), we get a palindrome (23110001132).

The spelling of 11000001121 in words is "eleven billion, one thousand, one hundred twenty-one".