11122121211121 has 2 divisors, whose sum is σ = 11122121211122. Its totient is φ = 11122121211120.

The previous prime is 11122121211109. The next prime is 11122121211139. The reversal of 11122121211121 is 12111212122111.

11122121211121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10383958432225 + 738162778896 = 3222415^2 + 859164^2 .

It is an emirp because it is prime and its reverse (12111212122111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11122121211121 - 2²⁵ = 11122087656689 is a prime.

It is not a weakly prime, because it can be changed into another prime (11122121281121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5561060605560 + 5561060605561.

It is an arithmetic number, because the mean of its divisors is an integer number (5561060605561).

Almost surely, 2^{11122121211121} is an apocalyptic number.

It is an amenable number.

11122121211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11122121211121 is an equidigital number, since it uses as much as digits as its factorization.

11122121211121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 32, while the sum is 19.

Adding to 11122121211121 its reverse (12111212122111), we get a palindrome (23233333333232).

The spelling of 11122121211121 in words is "eleven trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty-one".