2111002112120 has 128 divisors (see below), whose sum is σ = 5361242904000. Its totient is φ = 741026119680.

The previous prime is 2111002112083. The next prime is 2111002112123. The reversal of 2111002112120 is 212112001112.

It is a junction number, because it is equal to n+sod(n) for n = 2111002112095 and 2111002112104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111002112123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85339274 + ... + 85364006.

Almost surely, 2^{2111002112120} is an apocalyptic number.

2111002112120 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 2111002112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680621452000).

2111002112120 is an abundant number, since it is smaller than the sum of its proper divisors (3250240791880).

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

2111002112120 is a wasteful number, since it uses less digits than its factorization.

2111002112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31473 (or 31469 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2111002112120 its reverse (212112001112), we get a palindrome (2323114113232).

The spelling of 2111002112120 in words is "two trillion, one hundred eleven billion, two million, one hundred twelve thousand, one hundred twenty".