11201121121 has 16 divisors (see below), whose sum is σ = 11359350288. Its totient is φ = 11044454400.

The previous prime is 11201121119. The next prime is 11201121131. The reversal of 11201121121 is 12112110211.

It is a happy number.

11201121121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1261031121 + 9940090000 = 35511^2 + 99700^2 .

It is a cyclic number.

It is not a de Polignac number, because 11201121121 - 2¹ = 11201121119 is a prime.

It is a super-2 number, since 2×11201121121² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11201121131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13069725 + ... + 13070581.

It is an arithmetic number, because the mean of its divisors is an integer number (709959393).

Almost surely, 2^11201121121 is an apocalyptic number.

It is an amenable number.

11201121121 is a deficient number, since it is larger than the sum of its proper divisors (158229167).

11201121121 is a wasteful number, since it uses less digits than its factorization.

11201121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11201121121 its reverse (12112110211), we get a palindrome (23313231332).

The spelling of 11201121121 in words is "eleven billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty-one".