11201122101221 has 32 divisors (see below), whose sum is σ = 12243747317760. Its totient is φ = 10185777792000.

The previous prime is 11201122101203. The next prime is 11201122101277. The reversal of 11201122101221 is 12210122110211.

It is a cyclic number.

It is not a de Polignac number, because 11201122101221 - 2¹⁸ = 11201121839077 is a prime.

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 11201122101221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201122101821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138359471 + ... + 138440403.

It is an arithmetic number, because the mean of its divisors is an integer number (382617103680).

Almost surely, 2^{11201122101221} is an apocalyptic number.

It is an amenable number.

11201122101221 is a deficient number, since it is larger than the sum of its proper divisors (1042625216539).

11201122101221 is a wasteful number, since it uses less digits than its factorization.

11201122101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81677.

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

Adding to 11201122101221 its reverse (12210122110211), we get a palindrome (23411244211432).

The spelling of 11201122101221 in words is "eleven trillion, two hundred one billion, one hundred twenty-two million, one hundred one thousand, two hundred twenty-one".