11122331100 has 144 divisors (see below), whose sum is σ = 32804567040. Its totient is φ = 2908915200.

The previous prime is 11122331069. The next prime is 11122331119. The reversal of 11122331100 is 113322111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11122331100.

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, 4181571 + ... + 4184229.

Almost surely, 2^11122331100 is an apocalyptic number.

11122331100 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 11122331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16402283520).

11122331100 is an abundant number, since it is smaller than the sum of its proper divisors (21682235940).

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

11122331100 is a wasteful number, since it uses less digits than its factorization.

11122331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11122331100 its reverse (113322111), we get a palindrome (11235653211).

The spelling of 11122331100 in words is "eleven billion, one hundred twenty-two million, three hundred thirty-one thousand, one hundred".