11100221101120 has 112 divisors (see below), whose sum is σ = 26489707727616. Its totient is φ = 4430466560000.

The previous prime is 11100221101117. The next prime is 11100221101127. The reversal of 11100221101120 is 2110112200111.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11100221101120.

It is not an unprimeable number, because it can be changed into a prime (11100221101127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1162200345 + ... + 1162209895.

It is an arithmetic number, because the mean of its divisors is an integer number (236515247568).

Almost surely, 2^{11100221101120} is an apocalyptic number.

11100221101120 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 11100221101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13244853863808).

11100221101120 is an abundant number, since it is smaller than the sum of its proper divisors (15389486626496).

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

11100221101120 is an equidigital number, since it uses as much as digits as its factorization.

11100221101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17060 (or 17050 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11100221101120 its reverse (2110112200111), we get a palindrome (13210333301231).

The spelling of 11100221101120 in words is "eleven trillion, one hundred billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty".