11011111121121 has 16 divisors (see below), whose sum is σ = 15095063010048. Its totient is φ = 7135271337600.

The previous prime is 11011111121093. The next prime is 11011111121141. The reversal of 11011111121121 is 12112111111011.

It is a happy number.

11011111121121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11011111121121 - 2²⁶ = 11011044012257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11011111121121.

It is not an unprimeable number, because it can be changed into a prime (11011111121141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165134986 + ... + 165201651.

It is an arithmetic number, because the mean of its divisors is an integer number (943441438128).

Almost surely, 2^{11011111121121} is an apocalyptic number.

It is an amenable number.

11011111121121 is a deficient number, since it is larger than the sum of its proper divisors (4083951888927).

11011111121121 is a wasteful number, since it uses less digits than its factorization.

11011111121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330336952.

The product of its (nonzero) digits is 4, while the sum is 15.

Adding to 11011111121121 its reverse (12112111111011), we get a palindrome (23123222232132).

The spelling of 11011111121121 in words is "eleven trillion, eleven billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty-one".