11201110221120 has 112 divisors (see below), whose sum is σ = 35614993812288. Its totient is φ = 2982639882240.

The previous prime is 11201110221109. The next prime is 11201110221121. The reversal of 11201110221120 is 2112201110211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11201110221120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201110221121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7779349 + ... + 9106068.

Almost surely, 2^{11201110221120} is an apocalyptic number.

11201110221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201110221120 is an abundant number, since it is smaller than the sum of its proper divisors (24413883591168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11201110221120 is a wasteful number, since it uses less digits than its factorization.

11201110221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16886128 (or 16886118 counting only the distinct ones).

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

Adding to 11201110221120 its reverse (2112201110211), we get a palindrome (13313311331331).

The spelling of 11201110221120 in words is "eleven trillion, two hundred one billion, one hundred ten million, two hundred twenty-one thousand, one hundred twenty".