2011104034200 has 192 divisors, whose sum is σ = 6953479948800. Its totient is φ = 534254889600.

The previous prime is 2011104034169. The next prime is 2011104034207. The reversal of 2011104034200 is 24304011102.

2011104034200 is a `hidden beast` number, since 201 + 1 + 1 + 0 + 40 + 3 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011104034207) 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, 712165 + ... + 2128235.

It is an arithmetic number, because the mean of its divisors is an integer number (36216041400).

Almost surely, 2^{2011104034200} is an apocalyptic number.

2011104034200 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 2011104034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476739974400).

2011104034200 is an abundant number, since it is smaller than the sum of its proper divisors (4942375914600).

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

2011104034200 is a wasteful number, since it uses less digits than its factorization.

2011104034200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416359 (or 1416344 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2011104034200 its reverse (24304011102), we get a palindrome (2035408045302).

The spelling of 2011104034200 in words is "two trillion, eleven billion, one hundred four million, thirty-four thousand, two hundred".