11201021221120 has 288 divisors, whose sum is σ = 27614040749568. Its totient is φ = 4351416336384.

The previous prime is 11201021221081. The next prime is 11201021221147. The reversal of 11201021221120 is 2112212010211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11201021221094 and 11201021221103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2911623037 + ... + 2911626883.

It is an arithmetic number, because the mean of its divisors is an integer number (95882085936).

Almost surely, 2^{11201021221120} is an apocalyptic number.

11201021221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201021221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13807020374784).

11201021221120 is an abundant number, since it is smaller than the sum of its proper divisors (16413019528448).

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

11201021221120 is a wasteful number, since it uses less digits than its factorization.

11201021221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4345 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11201021221120 its reverse (2112212010211), we get a palindrome (13313233231331).

The spelling of 11201021221120 in words is "eleven trillion, two hundred one billion, twenty-one million, two hundred twenty-one thousand, one hundred twenty".