11112211131121 has 2 divisors, whose sum is σ = 11112211131122. Its totient is φ = 11112211131120.

The previous prime is 11112211131041. The next prime is 11112211131163. The reversal of 11112211131121 is 12113111221111.

It is a happy number.

11112211131121 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., 8253186682896 + 2859024448225 = 2872836^2 + 1690865^2 .

It is a cyclic number.

It is not a de Polignac number, because 11112211131121 - 2¹¹ = 11112211129073 is a prime.

It is not a weakly prime, because it can be changed into another prime (11112211171121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5556105565560 + 5556105565561.

It is an arithmetic number, because the mean of its divisors is an integer number (5556105565561).

Almost surely, 2^{11112211131121} is an apocalyptic number.

It is an amenable number.

11112211131121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11112211131121 is an equidigital number, since it uses as much as digits as its factorization.

11112211131121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 24, while the sum is 19.

Adding to 11112211131121 its reverse (12113111221111), we get a palindrome (23225322352232).

The spelling of 11112211131121 in words is "eleven trillion, one hundred twelve billion, two hundred eleven million, one hundred thirty-one thousand, one hundred twenty-one".