1101323011221 has 24 divisors (see below), whose sum is σ = 1620998131896. Its totient is φ = 720280828800.

The previous prime is 1101323011189. The next prime is 1101323011241. The reversal of 1101323011221 is 1221103231011.

1101323011221 is a `hidden beast` number, since 1 + 10 + 132 + 301 + 1 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1121312196 + 1100201699025 = 33486^2 + 1048905^2 .

It is not a de Polignac number, because 1101323011221 - 2⁵ = 1101323011189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1101323011194 and 1101323011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101323011241) 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 23 ways as a sum of consecutive naturals, for example, 4249671 + ... + 4501371.

It is an arithmetic number, because the mean of its divisors is an integer number (67541588829).

Almost surely, 2^{1101323011221} is an apocalyptic number.

It is an amenable number.

1101323011221 is a deficient number, since it is larger than the sum of its proper divisors (519675120675).

1101323011221 is a wasteful number, since it uses less digits than its factorization.

1101323011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260933 (or 260930 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1101323011221 its reverse (1221103231011), we get a palindrome (2322426242232).

The spelling of 1101323011221 in words is "one trillion, one hundred one billion, three hundred twenty-three million, eleven thousand, two hundred twenty-one".