1101221121221 has 12 divisors (see below), whose sum is σ = 1262590456932. Its totient is φ = 956716989696.

The previous prime is 1101221121197. The next prime is 1101221121229. The reversal of 1101221121221 is 1221211221011.

It can be written as a sum of positive squares in 6 ways, for example, as 10585528996 + 1090635592225 = 102886^2 + 1044335^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1101221121221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1101221121221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101221121229) 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 11 ways as a sum of consecutive naturals, for example, 191647166 + ... + 191652911.

It is an arithmetic number, because the mean of its divisors is an integer number (105215871411).

Almost surely, 2^{1101221121221} is an apocalyptic number.

It is an amenable number.

1101221121221 is a deficient number, since it is larger than the sum of its proper divisors (161369335711).

1101221121221 is a wasteful number, since it uses less digits than its factorization.

1101221121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383300120 (or 383300107 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 1101221121221 its reverse (1221211221011), we get a palindrome (2322432342232).

The spelling of 1101221121221 in words is "one trillion, one hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty-one".