2100120112024 has 128 divisors (see below), whose sum is σ = 4560941260800. Its totient is φ = 897127834240.

The previous prime is 2100120111967. The next prime is 2100120112061. The reversal of 2100120112024 is 4202110210012.

It is a junction number, because it is equal to n+sod(n) for n = 2100120111989 and 2100120112007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292207359 + ... + 292214545.

It is an arithmetic number, because the mean of its divisors is an integer number (35632353600).

Almost surely, 2^{2100120112024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100120112024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280470630400).

2100120112024 is an abundant number, since it is smaller than the sum of its proper divisors (2460821148776).

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

2100120112024 is a wasteful number, since it uses less digits than its factorization.

2100120112024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9733 (or 9729 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2100120112024 its reverse (4202110210012), we get a palindrome (6302230322036).

The spelling of 2100120112024 in words is "two trillion, one hundred billion, one hundred twenty million, one hundred twelve thousand, twenty-four".