11201012011221 has 48 divisors (see below), whose sum is σ = 16450913687040. Its totient is φ = 6759757588320.

The previous prime is 11201012011157. The next prime is 11201012011223. The reversal of 11201012011221 is 12211021010211.

It is a happy number.

It is not a de Polignac number, because 11201012011221 - 2⁶ = 11201012011157 is a prime.

It is a super-2 number, since 2×11201012011221² (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 11201012011221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201012011223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29087280 + ... + 29469846.

It is an arithmetic number, because the mean of its divisors is an integer number (342727368480).

Almost surely, 2^{11201012011221} is an apocalyptic number.

It is an amenable number.

11201012011221 is a deficient number, since it is larger than the sum of its proper divisors (5249901675819).

11201012011221 is a wasteful number, since it uses less digits than its factorization.

11201012011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383606 (or 383583 counting only the distinct ones).

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

Adding to 11201012011221 its reverse (12211021010211), we get a palindrome (23412033021432).

The spelling of 11201012011221 in words is "eleven trillion, two hundred one billion, twelve million, eleven thousand, two hundred twenty-one".