2100011010 has 64 divisors (see below), whose sum is σ = 5132242944. Its totient is φ = 549792000.

The previous prime is 2100011009. The next prime is 2100011041. The reversal of 2100011010 is 101100012.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 2100011010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1823935 + ... + 1825085.

It is an arithmetic number, because the mean of its divisors is an integer number (80191296).

Almost surely, 2^2100011010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566121472).

2100011010 is an abundant number, since it is smaller than the sum of its proper divisors (3032231934).

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

2100011010 is a wasteful number, since it uses less digits than its factorization.

2100011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 2100011010 is about 45825.8770783495. The cubic root of 2100011010 is about 1280.5814029481.

Adding to 2100011010 its reverse (101100012), we get a palindrome (2201111022).

The spelling of 2100011010 in words is "two billion, one hundred million, eleven thousand, ten".