2111011112120 has 128 divisors (see below), whose sum is σ = 4869925519680. Its totient is φ = 823334400000.

The previous prime is 2111011112051. The next prime is 2111011112129. The reversal of 2111011112120 is 212111101112.

It is a junction number, because it is equal to n+sod(n) for n = 2111011112095 and 2111011112104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111011112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206733815 + ... + 206744025.

Almost surely, 2^{2111011112120} is an apocalyptic number.

2111011112120 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 2111011112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434962759840).

2111011112120 is an abundant number, since it is smaller than the sum of its proper divisors (2758914407560).

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

2111011112120 is a wasteful number, since it uses less digits than its factorization.

2111011112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11097 (or 11093 counting only the distinct ones).

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

Adding to 2111011112120 its reverse (212111101112), we get a palindrome (2323122213232).

The spelling of 2111011112120 in words is "two trillion, one hundred eleven billion, eleven million, one hundred twelve thousand, one hundred twenty".