11122221100000 has 288 divisors, whose sum is σ = 29412128440800. Its totient is φ = 4124651520000.

The previous prime is 11122221099991. The next prime is 11122221100049. The reversal of 11122221100000 is 112222111.

It is a zygodrome in base 10.

It is a congruent number.

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, 113851176 + ... + 113948824.

It is an arithmetic number, because the mean of its divisors is an integer number (102125445975).

Almost surely, 2^{11122221100000} is an apocalyptic number.

11122221100000 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 11122221100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14706064220400).

11122221100000 is an abundant number, since it is smaller than the sum of its proper divisors (18289907340800).

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

11122221100000 is an frugal number, since it uses more digits than its factorization.

11122221100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97768 (or 97740 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11122221100000 its reverse (112222111), we get a palindrome (11122333322111).

It can be divided in two parts, 11122 and 221100000, that added together give a palindrome (221111122).

The spelling of 11122221100000 in words is "eleven trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred thousand".