11000110221120 has 112 divisors (see below), whose sum is σ = 34937456208768. Its totient is φ = 2932345927680.

The previous prime is 11000110221119. The next prime is 11000110221151. The reversal of 11000110221120 is 2112201100011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11000110221096 and 11000110221105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787030 + ... + 4756010.

Almost surely, 2^{11000110221120} is an apocalyptic number.

11000110221120 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 11000110221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17468728104384).

11000110221120 is an abundant number, since it is smaller than the sum of its proper divisors (23937345987648).

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

11000110221120 is a wasteful number, since it uses less digits than its factorization.

11000110221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971888 (or 3971878 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11000110221120 its reverse (2112201100011), we get a palindrome (13112311321131).

The spelling of 11000110221120 in words is "eleven trillion, one hundred ten million, two hundred twenty-one thousand, one hundred twenty".