11201121022011 has 96 divisors (see below), whose sum is σ = 17209830758400. Its totient is φ = 6439752115200.

The previous prime is 11201121022009. The next prime is 11201121022043. The reversal of 11201121022011 is 11022012110211.

It is a happy number.

It is not a de Polignac number, because 11201121022011 - 2¹ = 11201121022009 is a prime.

It is a super-2 number, since 2×11201121022011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11201121022051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3127929241 + ... + 3127932821.

It is an arithmetic number, because the mean of its divisors is an integer number (179269070400).

Almost surely, 2^{11201121022011} is an apocalyptic number.

11201121022011 is a deficient number, since it is larger than the sum of its proper divisors (6008709736389).

11201121022011 is a wasteful number, since it uses less digits than its factorization.

11201121022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041 (or 7010 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11201121022011 its reverse (11022012110211), we get a palindrome (22223133132222).

The spelling of 11201121022011 in words is "eleven trillion, two hundred one billion, one hundred twenty-one million, twenty-two thousand, eleven".