11113011221121 has 12 divisors (see below), whose sum is σ = 16098121958100. Its totient is φ = 7387445852640.

The previous prime is 11113011221119. The next prime is 11113011221129. The reversal of 11113011221121 is 12112211031111.

11113011221121 is a `hidden beast` number, since 11 + 11 + 301 + 1 + 221 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4993146666225 + 6119864554896 = 2234535^2 + 2473836^2 .

It is not a de Polignac number, because 11113011221121 - 2¹ = 11113011221119 is a prime.

It is a super-2 number, since 2×11113011221121² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11113011221094 and 11113011221103.

It is not an unprimeable number, because it can be changed into a prime (11113011221129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1769021250 + ... + 1769027531.

It is an arithmetic number, because the mean of its divisors is an integer number (1341510163175).

Almost surely, 2^{11113011221121} is an apocalyptic number.

It is an amenable number.

11113011221121 is a deficient number, since it is larger than the sum of its proper divisors (4985110736979).

11113011221121 is a wasteful number, since it uses less digits than its factorization.

11113011221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538049136 (or 3538049133 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 11113011221121 its reverse (12112211031111), we get a palindrome (23225222252232).

The spelling of 11113011221121 in words is "eleven trillion, one hundred thirteen billion, eleven million, two hundred twenty-one thousand, one hundred twenty-one".