11101332230120 has 128 divisors (see below), whose sum is σ = 27504528480000. Its totient is φ = 3998966906880.

The previous prime is 11101332230003. The next prime is 11101332230137. The reversal of 11101332230120 is 2103223310111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11101332230092 and 11101332230101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254310056 + ... + 254353704.

It is an arithmetic number, because the mean of its divisors is an integer number (214879128750).

Almost surely, 2^{11101332230120} is an apocalyptic number.

11101332230120 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 11101332230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13752264240000).

11101332230120 is an abundant number, since it is smaller than the sum of its proper divisors (16403196249880).

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

11101332230120 is a wasteful number, since it uses less digits than its factorization.

11101332230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49083 (or 49079 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11101332230120 its reverse (2103223310111), we get a palindrome (13204555540231).

The spelling of 11101332230120 in words is "eleven trillion, one hundred one billion, three hundred thirty-two million, two hundred thirty thousand, one hundred twenty".