11001101123221 has 24 divisors (see below), whose sum is σ = 12247811777880. Its totient is φ = 9872597306880.

The previous prime is 11001101123167. The next prime is 11001101123249. The reversal of 11001101123221 is 12232110110011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 834400996 + 11000266722225 = 28886^2 + 3316665^2 .

It is not a de Polignac number, because 11001101123221 - 2¹⁷ = 11001100992149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11001101123195 and 11001101123204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001101121221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5816635 + ... + 7472311.

It is an arithmetic number, because the mean of its divisors is an integer number (510325490745).

Almost surely, 2^{11001101123221} is an apocalyptic number.

11001101123221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001101123221 is a deficient number, since it is larger than the sum of its proper divisors (1246710654659).

11001101123221 is a wasteful number, since it uses less digits than its factorization.

11001101123221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656405 (or 1656394 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 11001101123221 its reverse (12232110110011), we get a palindrome (23233211233232).

The spelling of 11001101123221 in words is "eleven trillion, one billion, one hundred one million, one hundred twenty-three thousand, two hundred twenty-one".