2011110211120 has 320 divisors, whose sum is σ = 4923204894720. Its totient is φ = 763451080704.

The previous prime is 2011110211091. The next prime is 2011110211129. The reversal of 2011110211120 is 211120111102.

It is a happy number.

It is a super-2 number, since 2×2011110211120² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2011110211120.

It is not an unprimeable number, because it can be changed into a prime (2011110211129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6425272084 + ... + 6425272396.

It is an arithmetic number, because the mean of its divisors is an integer number (15385015296).

Almost surely, 2^{2011110211120} is an apocalyptic number.

2011110211120 is a gapful number since it is divisible by the number (20) 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 2011110211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461602447360).

2011110211120 is an abundant number, since it is smaller than the sum of its proper divisors (2912094683600).

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

2011110211120 is a wasteful number, since it uses less digits than its factorization.

2011110211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2011110211120 its reverse (211120111102), we get a palindrome (2222230322222).

The spelling of 2011110211120 in words is "two trillion, eleven billion, one hundred ten million, two hundred eleven thousand, one hundred twenty".