2010121211200 has 336 divisors, whose sum is σ = 5215424655744. Its totient is φ = 761049907200.

The previous prime is 2010121211191. The next prime is 2010121211209. The reversal of 2010121211200 is 21121210102.

It is an interprime number because it is at equal distance from previous prime (2010121211191) and next prime (2010121211209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010121211209) 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, 2909002855 + ... + 2909003545.

Almost surely, 2^{2010121211200} is an apocalyptic number.

2010121211200 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 2010121211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607712327872).

2010121211200 is an abundant number, since it is smaller than the sum of its proper divisors (3205303444544).

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

2010121211200 is a wasteful number, since it uses less digits than its factorization.

2010121211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2010121211200 its reverse (21121210102), we get a palindrome (2031242421302).

The spelling of 2010121211200 in words is "two trillion, ten billion, one hundred twenty-one million, two hundred eleven thousand, two hundred".