11222200201100 has 432 divisors, whose sum is σ = 29819161451520. Its totient is φ = 3650391360000.

The previous prime is 11222200201049. The next prime is 11222200201103. The reversal of 11222200201100 is 110200222211.

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

It is not an unprimeable number, because it can be changed into a prime (11222200201103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3067011071 + ... + 3067014729.

Almost surely, 2^{11222200201100} is an apocalyptic number.

11222200201100 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 11222200201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14909580725760).

11222200201100 is an abundant number, since it is smaller than the sum of its proper divisors (18596961250420).

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

11222200201100 is a wasteful number, since it uses less digits than its factorization.

11222200201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 4096 counting only the distinct ones).

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

Adding to 11222200201100 its reverse (110200222211), we get a palindrome (11332400423311).

The spelling of 11222200201100 in words is "eleven trillion, two hundred twenty-two billion, two hundred million, two hundred one thousand, one hundred".