2010113200 has 60 divisors (see below), whose sum is σ = 4845323560. Its totient is φ = 801377280.

The previous prime is 2010113197. The next prime is 2010113207. The reversal of 2010113200 is 23110102.

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

It is not an unprimeable number, because it can be changed into a prime (2010113207) 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 11 ways as a sum of consecutive naturals, for example, 114616 + ... + 130984.

Almost surely, 2^2010113200 is an apocalyptic number.

2010113200 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 2010113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422661780).

2010113200 is an abundant number, since it is smaller than the sum of its proper divisors (2835210360).

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

2010113200 is a wasteful number, since it uses less digits than its factorization.

2010113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16694 (or 16683 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2010113200 is about 44834.2859874003. The cubic root of 2010113200 is about 1262.0411193794.

Adding to 2010113200 its reverse (23110102), we get a palindrome (2033223302).

The spelling of 2010113200 in words is "two billion, ten million, one hundred thirteen thousand, two hundred".