2011011204200 has 96 divisors (see below), whose sum is σ = 4746197667360. Its totient is φ = 792262944000.

The previous prime is 2011011204197. The next prime is 2011011204211. The reversal of 2011011204200 is 24021101102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120765875 + ... + 120782525.

It is an arithmetic number, because the mean of its divisors is an integer number (49439559035).

Almost surely, 2^{2011011204200} is an apocalyptic number.

2011011204200 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 2011011204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373098833680).

2011011204200 is an abundant number, since it is smaller than the sum of its proper divisors (2735186463160).

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

2011011204200 is a wasteful number, since it uses less digits than its factorization.

2011011204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25747 (or 25738 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2011011204200 its reverse (24021101102), we get a palindrome (2035032305302).

The spelling of 2011011204200 in words is "two trillion, eleven billion, eleven million, two hundred four thousand, two hundred".