2010212100 has 144 divisors (see below), whose sum is σ = 6959693440. Its totient is φ = 494812800.

The previous prime is 2010212093. The next prime is 2010212101. The reversal of 2010212100 is 12120102.

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

It is not an unprimeable number, because it can be changed into a prime (2010212101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6465 + ... + 63735.

Almost surely, 2^2010212100 is an apocalyptic number.

2010212100 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 2010212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479846720).

2010212100 is an abundant number, since it is smaller than the sum of its proper divisors (4949481340).

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

2010212100 is a wasteful number, since it uses less digits than its factorization.

2010212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57307 (or 57294 counting only the distinct ones).

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

The square root of 2010212100 is about 44835.3889243754. The cubic root of 2010212100 is about 1262.0618170230.

Adding to 2010212100 its reverse (12120102), we get a palindrome (2022332202).

The spelling of 2010212100 in words is "two billion, ten million, two hundred twelve thousand, one hundred".