11110221221121 has 24 divisors (see below), whose sum is σ = 17507260334304. Its totient is φ = 6733373146560.

The previous prime is 11110221221069. The next prime is 11110221221149. The reversal of 11110221221121 is 12112212201111.

It is a happy number.

It is not a de Polignac number, because 11110221221121 - 2⁷ = 11110221220993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11110221221094 and 11110221221103.

It is not an unprimeable number, because it can be changed into a prime (11110221226121) 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 23 ways as a sum of consecutive naturals, for example, 6678690 + ... + 8174676.

It is an arithmetic number, because the mean of its divisors is an integer number (729469180596).

Almost surely, 2^{11110221221121} is an apocalyptic number.

11110221221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11110221221121 is a deficient number, since it is larger than the sum of its proper divisors (6397039113183).

11110221221121 is a wasteful number, since it uses less digits than its factorization.

11110221221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571021 (or 1571018 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11110221221121 its reverse (12112212201111), we get a palindrome (23222433422232).

The spelling of 11110221221121 in words is "eleven trillion, one hundred ten billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-one".