11223312221100 has 144 divisors (see below), whose sum is σ = 37152141555200. Its totient is φ = 2562536632320.

The previous prime is 11223312221059. The next prime is 11223312221113. The reversal of 11223312221100 is 112221332211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 977845 + ... + 4837644.

Almost surely, 2^{11223312221100} is an apocalyptic number.

11223312221100 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 11223312221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18576070777600).

11223312221100 is an abundant number, since it is smaller than the sum of its proper divisors (25928829334100).

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

11223312221100 is a wasteful number, since it uses less digits than its factorization.

11223312221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5816432 (or 5816425 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11223312221100 its reverse (112221332211), we get a palindrome (11335533553311).

The spelling of 11223312221100 in words is "eleven trillion, two hundred twenty-three billion, three hundred twelve million, two hundred twenty-one thousand, one hundred".