11201112201221 has 8 divisors (see below), whose sum is σ = 11860745621400. Its totient is φ = 10541561499648.

The previous prime is 11201112201211. The next prime is 11201112201239. The reversal of 11201112201221 is 12210221110211.

It can be written as a sum of positive squares in 4 ways, for example, as 4841188072900 + 6359924128321 = 2200270^2 + 2521889^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11201112201221 - 2³⁰ = 11200038459397 is a prime.

It is a super-3 number, since 3×11201112201221³ (a number of 40 digits) contains 333 as substring.

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 11201112201221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201112201211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20400746 + ... + 20942603.

It is an arithmetic number, because the mean of its divisors is an integer number (1482593202675).

Almost surely, 2^{11201112201221} is an apocalyptic number.

It is an amenable number.

11201112201221 is a deficient number, since it is larger than the sum of its proper divisors (659633420179).

11201112201221 is a wasteful number, since it uses less digits than its factorization.

11201112201221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41359303.

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

Adding to 11201112201221 its reverse (12210221110211), we get a palindrome (23411333311432).

The spelling of 11201112201221 in words is "eleven trillion, two hundred one billion, one hundred twelve million, two hundred one thousand, two hundred twenty-one".