1100221220000 has 480 divisors, whose sum is σ = 3332263334400. Its totient is φ = 349017984000.

The previous prime is 1100221219921. The next prime is 1100221220009. The reversal of 1100221220000 is 221220011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1100221220009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 114375191 + ... + 114384809.

It is an arithmetic number, because the mean of its divisors is an integer number (6942215280).

Almost surely, 2^{1100221220000} is an apocalyptic number.

1100221220000 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 1100221220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666131667200).

1100221220000 is an abundant number, since it is smaller than the sum of its proper divisors (2232042114400).

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

1100221220000 is an equidigital number, since it uses as much as digits as its factorization.

1100221220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9718 (or 9695 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1100221220000 its sum of digits (11), we get a palindrome (1100221220011).

Adding to 1100221220000 its reverse (221220011), we get a palindrome (1100442440011).

The spelling of 1100221220000 in words is "one trillion, one hundred billion, two hundred twenty-one million, two hundred twenty thousand".