2012101200200 has 288 divisors, whose sum is σ = 5877254534760. Its totient is φ = 634978713600.

The previous prime is 2012101200149. The next prime is 2012101200223. The reversal of 2012101200200 is 20021012102.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 242121075364 + 1769980124836 = 492058^2 + 1330406^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44949830 + ... + 44994570.

Almost surely, 2^{2012101200200} is an apocalyptic number.

2012101200200 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 2012101200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938627267380).

2012101200200 is an abundant number, since it is smaller than the sum of its proper divisors (3865153334560).

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

2012101200200 is a wasteful number, since it uses less digits than its factorization.

2012101200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45137 (or 45121 counting only the distinct ones).

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

Adding to 2012101200200 its reverse (20021012102), we get a palindrome (2032122212302).

The spelling of 2012101200200 in words is "two trillion, twelve billion, one hundred one million, two hundred thousand, two hundred".