11121100211221 has 128 divisors (see below), whose sum is σ = 15599810580480. Its totient is φ = 7714980599040.

The previous prime is 11121100211209. The next prime is 11121100211227. The reversal of 11121100211221 is 12211200112111.

It is not a de Polignac number, because 11121100211221 - 2⁵ = 11121100211189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11121100211195 and 11121100211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121100211227) 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 127 ways as a sum of consecutive naturals, for example, 378730686 + ... + 378760048.

It is an arithmetic number, because the mean of its divisors is an integer number (121873520160).

Almost surely, 2^{11121100211221} is an apocalyptic number.

11121100211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11121100211221 is a deficient number, since it is larger than the sum of its proper divisors (4478710369259).

11121100211221 is a wasteful number, since it uses less digits than its factorization.

11121100211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29528 (or 29506 counting only the distinct ones).

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

Adding to 11121100211221 its reverse (12211200112111), we get a palindrome (23332300323332).

The spelling of 11121100211221 in words is "eleven trillion, one hundred twenty-one billion, one hundred million, two hundred eleven thousand, two hundred twenty-one".