11201122111221 has 96 divisors (see below), whose sum is σ = 19240308711936. Its totient is φ = 6146124480000.

The previous prime is 11201122111217. The next prime is 11201122111241. The reversal of 11201122111221 is 12211122110211.

It is a happy number.

11201122111221 is a `hidden beast` number, since 1 + 120 + 112 + 211 + 1 + 221 = 666.

It is not a de Polignac number, because 11201122111221 - 2² = 11201122111217 is a prime.

It is a super-2 number, since 2×11201122111221² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11201122111194 and 11201122111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201122111241) 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 95 ways as a sum of consecutive naturals, for example, 73142551 + ... + 73295531.

It is an arithmetic number, because the mean of its divisors is an integer number (200419882416).

Almost surely, 2^{11201122111221} is an apocalyptic number.

It is an amenable number.

11201122111221 is a deficient number, since it is larger than the sum of its proper divisors (8039186600715).

11201122111221 is a wasteful number, since it uses less digits than its factorization.

11201122111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153443 (or 153440 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11201122111221 its reverse (12211122110211), we get a palindrome (23412244221432).

The spelling of 11201122111221 in words is "eleven trillion, two hundred one billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twenty-one".