11101100121221 has 24 divisors (see below), whose sum is σ = 12361455133440. Its totient is φ = 9960161159520.

The previous prime is 11101100121203. The next prime is 11101100121239. The reversal of 11101100121221 is 12212100110111.

It is an interprime number because it is at equal distance from previous prime (11101100121203) and next prime (11101100121239).

It is not a de Polignac number, because 11101100121221 - 2⁶ = 11101100121157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11101100121196 and 11101100121205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101100121281) 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, 23694191 + ... + 24158163.

It is an arithmetic number, because the mean of its divisors is an integer number (515060630560).

Almost surely, 2^{11101100121221} is an apocalyptic number.

11101100121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11101100121221 is a deficient number, since it is larger than the sum of its proper divisors (1260355012219).

11101100121221 is a wasteful number, since it uses less digits than its factorization.

11101100121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466577 (or 466566 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11101100121221 its reverse (12212100110111), we get a palindrome (23313200231332).

The spelling of 11101100121221 in words is "eleven trillion, one hundred one billion, one hundred million, one hundred twenty-one thousand, two hundred twenty-one".