2102000112 has 80 divisors (see below), whose sum is σ = 6123655680. Its totient is φ = 690199488.

The previous prime is 2102000111. The next prime is 2102000119. The reversal of 2102000112 is 2110002012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2102000094 and 2102000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102000111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7368 + ... + 65255.

It is an arithmetic number, because the mean of its divisors is an integer number (76545696).

Almost surely, 2^2102000112 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 2102000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061827840).

2102000112 is an abundant number, since it is smaller than the sum of its proper divisors (4021655568).

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

2102000112 is a wasteful number, since it uses less digits than its factorization.

2102000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72707 (or 72695 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2102000112 is about 45847.5747668293. The cubic root of 2102000112 is about 1280.9855918173.

Adding to 2102000112 its reverse (2110002012), we get a palindrome (4212002124).

The spelling of 2102000112 in words is "two billion, one hundred two million, one hundred twelve", and thus it is an aban number.