2010212133200 has 120 divisors (see below), whose sum is σ = 4844570136000. Its totient is φ = 801585607680.

The previous prime is 2010212133187. The next prime is 2010212133217. The reversal of 2010212133200 is 23312120102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177058724 + ... + 177070076.

It is an arithmetic number, because the mean of its divisors is an integer number (40371417800).

Almost surely, 2^{2010212133200} is an apocalyptic number.

2010212133200 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 2010212133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422285068000).

2010212133200 is an abundant number, since it is smaller than the sum of its proper divisors (2834358002800).

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

2010212133200 is a wasteful number, since it uses less digits than its factorization.

2010212133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12709 (or 12698 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2010212133200 its reverse (23312120102), we get a palindrome (2033524253302).

It can be divided in two parts, 2010212 and 133200, that added together give a palindrome (2143412).

The spelling of 2010212133200 in words is "two trillion, ten billion, two hundred twelve million, one hundred thirty-three thousand, two hundred".