21211011300 has 144 divisors (see below), whose sum is σ = 61995407040. Its totient is φ = 5598935040.

The previous prime is 21211011293. The next prime is 21211011337. The reversal of 21211011300 is 311011212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23385447 + ... + 23386353.

It is an arithmetic number, because the mean of its divisors is an integer number (430523660).

Almost surely, 2^21211011300 is an apocalyptic number.

21211011300 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 21211011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30997703520).

21211011300 is an abundant number, since it is smaller than the sum of its proper divisors (40784395740).

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

21211011300 is a wasteful number, since it uses less digits than its factorization.

21211011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1623 counting only the distinct ones).

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

Adding to 21211011300 its reverse (311011212), we get a palindrome (21522022512).

The spelling of 21211011300 in words is "twenty-one billion, two hundred eleven million, eleven thousand, three hundred".