11332110101100 has 144 divisors (see below), whose sum is σ = 32987309156256. Its totient is φ = 3003505920000.

The previous prime is 11332110101089. The next prime is 11332110101197. The reversal of 11332110101100 is 110101123311.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11332110101100.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 97736362 + ... + 97852238.

Almost surely, 2^{11332110101100} is an apocalyptic number.

11332110101100 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 11332110101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16493654578128).

11332110101100 is an abundant number, since it is smaller than the sum of its proper divisors (21655199055156).

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

11332110101100 is a wasteful number, since it uses less digits than its factorization.

11332110101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117876 (or 117869 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 11332110101100 its reverse (110101123311), we get a palindrome (11442211224411).

The spelling of 11332110101100 in words is "eleven trillion, three hundred thirty-two billion, one hundred ten million, one hundred one thousand, one hundred".