2011003104200 has 96 divisors (see below), whose sum is σ = 4817309875560. Its totient is φ = 780244838400.

The previous prime is 2011003104181. The next prime is 2011003104247. The reversal of 2011003104200 is 24013001102.

It can be written as a sum of positive squares in 12 ways, for example, as 398961509956 + 1612041594244 = 631634^2 + 1269662^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709802 + ... + 2127398.

Almost surely, 2^{2011003104200} is an apocalyptic number.

2011003104200 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 2011003104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408654937780).

2011003104200 is an abundant number, since it is smaller than the sum of its proper divisors (2806306771360).

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

2011003104200 is a wasteful number, since it uses less digits than its factorization.

2011003104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417827 (or 1417818 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2011003104200 its reverse (24013001102), we get a palindrome (2035016105302).

The spelling of 2011003104200 in words is "two trillion, eleven billion, three million, one hundred four thousand, two hundred".