2010120100 has 18 divisors (see below), whose sum is σ = 4361960834. Its totient is φ = 804048000.

The previous prime is 2010120089. The next prime is 2010120107. The reversal of 2010120100 is 10210102.

It can be written as a sum of positive squares in 3 ways, for example, as 271063296 + 1739056804 = 16464^2 + 41702^2 .

It is not an unprimeable number, because it can be changed into a prime (2010120107) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 10050501 + ... + 10050700.

Almost surely, 2^2010120100 is an apocalyptic number.

2010120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010120100 is an abundant number, since it is smaller than the sum of its proper divisors (2351840734).

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

2010120100 is a wasteful number, since it uses less digits than its factorization.

2010120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20101215 (or 20101208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2010120100 is about 44834.3629373720. The cubic root of 2010120100 is about 1262.0425634231.

Adding to 2010120100 its reverse (10210102), we get a palindrome (2020330202).

The spelling of 2010120100 in words is "two billion, ten million, one hundred twenty thousand, one hundred".