11001121221121 has 32 divisors (see below), whose sum is σ = 12317202144000. Its totient is φ = 9764359280640.

The previous prime is 11001121221113. The next prime is 11001121221133. The reversal of 11001121221121 is 12112212110011.

It is a cyclic number.

It is not a de Polignac number, because 11001121221121 - 2³ = 11001121221113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11001121221095 and 11001121221104.

It is not an unprimeable number, because it can be changed into a prime (11001121221191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318403555 + ... + 318438103.

It is an arithmetic number, because the mean of its divisors is an integer number (384912567000).

Almost surely, 2^{11001121221121} is an apocalyptic number.

It is an amenable number.

11001121221121 is a deficient number, since it is larger than the sum of its proper divisors (1316080922879).

11001121221121 is a wasteful number, since it uses less digits than its factorization.

11001121221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39049.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 11001121221121 its reverse (12112212110011), we get a palindrome (23113333331132).

The spelling of 11001121221121 in words is "eleven trillion, one billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-one".