2011211300 has 72 divisors (see below), whose sum is σ = 4999513344. Its totient is φ = 687939840.

The previous prime is 2011211281. The next prime is 2011211311. The reversal of 2011211300 is 31121102.

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, 316757 + ... + 323043.

Almost surely, 2^2011211300 is an apocalyptic number.

2011211300 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 2011211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499756672).

2011211300 is an abundant number, since it is smaller than the sum of its proper divisors (2988302044).

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

2011211300 is a wasteful number, since it uses less digits than its factorization.

2011211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6765 (or 6758 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2011211300 is about 44846.5305235533. The cubic root of 2011211300 is about 1262.2708900332.

Adding to 2011211300 its reverse (31121102), we get a palindrome (2042332402).

The spelling of 2011211300 in words is "two billion, eleven million, two hundred eleven thousand, three hundred".