11000220001100 has 108 divisors (see below), whose sum is σ = 26258620137624. Its totient is φ = 3999639996000.

The previous prime is 11000220001079. The next prime is 11000220001103. The reversal of 11000220001100 is 110002200011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11000220001103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1210007555 + ... + 1210016645.

Almost surely, 2^{11000220001100} is an apocalyptic number.

11000220001100 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 11000220001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13129310068812).

11000220001100 is an abundant number, since it is smaller than the sum of its proper divisors (15258400136524).

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

11000220001100 is an frugal number, since it uses more digits than its factorization.

11000220001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18229 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11000220001100 its reverse (110002200011), we get a palindrome (11110222201111).

Subtracting from 11000220001100 its reverse (110002200011), we obtain a square (10890217801089 = 3300033²).

11000220001100 divided by its reverse (110002200011) gives a square (100 = 10²).

It can be divided in two parts, 110002 and 20001100, that added together give a palindrome (20111102).

The spelling of 11000220001100 in words is "eleven trillion, two hundred twenty million, one thousand, one hundred".