11221121111121 has 96 divisors (see below), whose sum is σ = 17438166064800. Its totient is φ = 6952335667200.

The previous prime is 11221121111077. The next prime is 11221121111129. The reversal of 11221121111121 is 12111112112211.

11221121111121 is a `hidden beast` number, since 112 + 211 + 211 + 11 + 121 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 344739251025 + 10876381860096 = 587145^2 + 3297936^2 .

It is not a de Polignac number, because 11221121111121 - 2¹⁷ = 11221120980049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11221121111094 and 11221121111103.

It is not an unprimeable number, because it can be changed into a prime (11221121111129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1772965885 + ... + 1772972213.

It is an arithmetic number, because the mean of its divisors is an integer number (181647563175).

Almost surely, 2^{11221121111121} is an apocalyptic number.

It is an amenable number.

11221121111121 is a deficient number, since it is larger than the sum of its proper divisors (6217044953679).

11221121111121 is a wasteful number, since it uses less digits than its factorization.

11221121111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6884 (or 6847 counting only the distinct ones).

The product of its digits is 16, while the sum is 18.

Adding to 11221121111121 its reverse (12111112112211), we get a palindrome (23332233223332).

The spelling of 11221121111121 in words is "eleven trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty-one".