11201112101120 has 144 divisors (see below), whose sum is σ = 26975597488560. Its totient is φ = 4456199749632.

The previous prime is 11201112101077. The next prime is 11201112101129. The reversal of 11201112101120 is 2110121110211.

It can be written as a sum of positive squares in 8 ways, for example, as 655037710336 + 10546074390784 = 809344^2 + 3247472^2 .

It is a super-2 number, since 2×11201112101120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11201112101095 and 11201112101104.

It is not an unprimeable number, because it can be changed into a prime (11201112101129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286358684 + ... + 286397796.

It is an arithmetic number, because the mean of its divisors is an integer number (187330538115).

Almost surely, 2^{11201112101120} is an apocalyptic number.

11201112101120 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 11201112101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13487798744280).

11201112101120 is an abundant number, since it is smaller than the sum of its proper divisors (15774485387440).

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

11201112101120 is an equidigital number, since it uses as much as digits as its factorization.

11201112101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40340 (or 40326 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11201112101120 its reverse (2110121110211), we get a palindrome (13311233211331).

Subtracting from 11201112101120 its reverse (2110121110211), we obtain a palindrome (9090990990909).

The spelling of 11201112101120 in words is "eleven trillion, two hundred one billion, one hundred twelve million, one hundred one thousand, one hundred twenty".