2010200121200 has 120 divisors (see below), whose sum is σ = 4992724599936. Its totient is φ = 776982528000.

The previous prime is 2010200121191. The next prime is 2010200121221. The reversal of 2010200121200 is 21210020102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8224760 + ... + 8465640.

Almost surely, 2^{2010200121200} is an apocalyptic number.

2010200121200 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 2010200121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496362299968).

2010200121200 is an abundant number, since it is smaller than the sum of its proper divisors (2982524478736).

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

2010200121200 is a wasteful number, since it uses less digits than its factorization.

2010200121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241603 (or 241592 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2010200121200 its reverse (21210020102), we get a palindrome (2031410141302).

The spelling of 2010200121200 in words is "two trillion, ten billion, two hundred million, one hundred twenty-one thousand, two hundred".