11221011101121 has 16 divisors (see below), whose sum is σ = 15077101805568. Its totient is φ = 7422808936400.

The previous prime is 11221011101051. The next prime is 11221011101173. The reversal of 11221011101121 is 12110111012211.

It is a cyclic number.

It is not a de Polignac number, because 11221011101121 - 2¹⁸ = 11221010838977 is a prime.

It is a super-2 number, since 2×11221011101121² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11221011101121.

It is not an unprimeable number, because it can be changed into a prime (11221011105121) 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 15 ways as a sum of consecutive naturals, for example, 2389780 + ... + 5305946.

It is an arithmetic number, because the mean of its divisors is an integer number (942318862848).

Almost surely, 2^{11221011101121} is an apocalyptic number.

It is an amenable number.

11221011101121 is a deficient number, since it is larger than the sum of its proper divisors (3856090704447).

11221011101121 is a wasteful number, since it uses less digits than its factorization.

11221011101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926092.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11221011101121 its reverse (12110111012211), we get a palindrome (23331122113332).

It can be divided in two parts, 1122101 and 1101121, that added together give a palindrome (2223222).

The spelling of 11221011101121 in words is "eleven trillion, two hundred twenty-one billion, eleven million, one hundred one thousand, one hundred twenty-one".