2011021200 has 180 divisors, whose sum is σ = 7021315860. Its totient is φ = 533007360.

The previous prime is 2011021189. The next prime is 2011021213. The reversal of 2011021200 is 21201102.

It can be written as a sum of positive squares in 6 ways, for example, as 36864 + 2010984336 = 192^2 + 44844^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 621186 + ... + 624414.

Almost surely, 2^2011021200 is an apocalyptic number.

2011021200 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 2011021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510657930).

2011021200 is an abundant number, since it is smaller than the sum of its proper divisors (5010294660).

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

2011021200 is a wasteful number, since it uses less digits than its factorization.

2011021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2011021200 is about 44844.4110230026. The cubic root of 2011021200 is about 1262.2311187675.

Adding to 2011021200 its reverse (21201102), we get a palindrome (2032222302).

The spelling of 2011021200 in words is "two billion, eleven million, twenty-one thousand, two hundred".