21000211300 has 72 divisors (see below), whose sum is σ = 45981432000. Its totient is φ = 8324680320.

The previous prime is 21000211247. The next prime is 21000211307. The reversal of 21000211300 is 311200012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (21000211307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5351139 + ... + 5355061.

It is an arithmetic number, because the mean of its divisors is an integer number (638631000).

Almost surely, 2^21000211300 is an apocalyptic number.

21000211300 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 21000211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22990716000).

21000211300 is an abundant number, since it is smaller than the sum of its proper divisors (24981220700).

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

21000211300 is a wasteful number, since it uses less digits than its factorization.

21000211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4405 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 21000211300 its reverse (311200012), we get a palindrome (21311411312).

The spelling of 21000211300 in words is "twenty-one billion, two hundred eleven thousand, three hundred".