11000222221100 has 288 divisors, whose sum is σ = 28820086063104. Its totient is φ = 3564691027200.

The previous prime is 11000222221061. The next prime is 11000222221123. The reversal of 11000222221100 is 112222200011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 496680227 + ... + 496702373.

Almost surely, 2^{11000222221100} is an apocalyptic number.

11000222221100 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 11000222221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14410043031552).

11000222221100 is an abundant number, since it is smaller than the sum of its proper divisors (17819863842004).

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

11000222221100 is a wasteful number, since it uses less digits than its factorization.

11000222221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22733 (or 22726 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11000222221100 its reverse (112222200011), we get a palindrome (11112444421111).

The spelling of 11000222221100 in words is "eleven trillion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred".