21211321000 has 128 divisors (see below), whose sum is σ = 50645088000. Its totient is φ = 8313312000.

The previous prime is 21211320997. The next prime is 21211321003. The reversal of 21211321000 is 12311212.

It is an interprime number because it is at equal distance from previous prime (21211320997) and next prime (21211321003).

It is not an unprimeable number, because it can be changed into a prime (21211321003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12708166 + ... + 12709834.

It is an arithmetic number, because the mean of its divisors is an integer number (395664750).

Almost surely, 2^21211321000 is an apocalyptic number.

21211321000 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 21211321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25322544000).

21211321000 is an abundant number, since it is smaller than the sum of its proper divisors (29433767000).

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

21211321000 is a wasteful number, since it uses less digits than its factorization.

21211321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 21211321000 its reverse (12311212), we get a palindrome (21223632212).

The spelling of 21211321000 in words is "twenty-one billion, two hundred eleven million, three hundred twenty-one thousand".