2010112113 has 16 divisors (see below), whose sum is σ = 2846952576. Its totient is φ = 1257181440.

The previous prime is 2010112037. The next prime is 2010112127. The reversal of 2010112113 is 3112110102.

It is not a de Polignac number, because 2010112113 - 2¹² = 2010108017 is a prime.

It is a super-3 number, since 3×2010112113³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2010112193) 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, 47506 + ... + 79227.

It is an arithmetic number, because the mean of its divisors is an integer number (177934536).

Almost surely, 2^2010112113 is an apocalyptic number.

It is an amenable number.

2010112113 is a deficient number, since it is larger than the sum of its proper divisors (836840463).

2010112113 is a wasteful number, since it uses less digits than its factorization.

2010112113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127064.

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

The square root of 2010112113 is about 44834.2738649797. The cubic root of 2010112113 is about 1262.0408918899.

Adding to 2010112113 its reverse (3112110102), we get a palindrome (5122222215).

The spelling of 2010112113 in words is "two billion, ten million, one hundred twelve thousand, one hundred thirteen".