11113711111121 has 2 divisors, whose sum is σ = 11113711111122. Its totient is φ = 11113711111120.

The previous prime is 11113711111099. The next prime is 11113711111163. The reversal of 11113711111121 is 12111111731111.

It is a m-pointer prime, because the next prime (11113711111163) can be obtained adding 11113711111121 to its product of digits (42).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11026384360000 + 87326751121 = 3320600^2 + 295511^2 .

It is an emirp because it is prime and its reverse (12111111731111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11113711111121 - 2⁶ = 11113711111057 is a prime.

It is a super-2 number, since 2×11113711111121² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11113711011121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5556855555560 + 5556855555561.

It is an arithmetic number, because the mean of its divisors is an integer number (5556855555561).

Almost surely, 2^{11113711111121} is an apocalyptic number.

It is an amenable number.

11113711111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11113711111121 is an equidigital number, since it uses as much as digits as its factorization.

11113711111121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42, while the sum is 23.

Adding to 11113711111121 its reverse (12111111731111), we get a palindrome (23224822842232).

The spelling of 11113711111121 in words is "eleven trillion, one hundred thirteen billion, seven hundred eleven million, one hundred eleven thousand, one hundred twenty-one".