2110012000120 has 128 divisors (see below), whose sum is σ = 4882839796800. Its totient is φ = 820121702400.

The previous prime is 2110012000069. The next prime is 2110012000157. The reversal of 2110012000120 is 210002100112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2110012000097 and 2110012000106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456611410 + ... + 456616030.

Almost surely, 2^{2110012000120} is an apocalyptic number.

2110012000120 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 2110012000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441419898400).

2110012000120 is an abundant number, since it is smaller than the sum of its proper divisors (2772827796680).

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

2110012000120 is a wasteful number, since it uses less digits than its factorization.

2110012000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5729 (or 5725 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2110012000120 its reverse (210002100112), we get a palindrome (2320014100232).

The spelling of 2110012000120 in words is "two trillion, one hundred ten billion, twelve million, one hundred twenty", and thus it is an aban number.