2112011010120 has 256 divisors, whose sum is σ = 6969062707200. Its totient is φ = 507785615360.

The previous prime is 2112011010071. The next prime is 2112011010149. The reversal of 2112011010120 is 210101102112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2112011010096 and 2112011010105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214652161 + ... + 214661999.

It is an arithmetic number, because the mean of its divisors is an integer number (27222901200).

Almost surely, 2^{2112011010120} is an apocalyptic number.

2112011010120 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 2112011010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484531353600).

2112011010120 is an abundant number, since it is smaller than the sum of its proper divisors (4857051697080).

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

2112011010120 is a wasteful number, since it uses less digits than its factorization.

2112011010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11188 (or 11184 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2112011010120 its reverse (210101102112), we get a palindrome (2322112112232).

The spelling of 2112011010120 in words is "two trillion, one hundred twelve billion, eleven million, ten thousand, one hundred twenty".