21221000000 has 98 divisors (see below), whose sum is σ = 52639834014. Its totient is φ = 8488000000.

The previous prime is 21220999973. The next prime is 21221000027. The reversal of 21221000000 is 12212.

It is an interprime number because it is at equal distance from previous prime (21220999973) and next prime (21221000027).

It can be written as a sum of positive squares in 7 ways, for example, as 19781859904 + 1439140096 = 140648^2 + 37936^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 989390 + ... + 1010610.

Almost surely, 2^21221000000 is an apocalyptic number.

21221000000 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 21221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26319917007).

21221000000 is an abundant number, since it is smaller than the sum of its proper divisors (31418834014).

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

21221000000 is an frugal number, since it uses more digits than its factorization.

21221000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21263 (or 21228 counting only the distinct ones).

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

Adding to 21221000000 its reverse (12212), we get a palindrome (21221012212).

The spelling of 21221000000 in words is "twenty-one billion, two hundred twenty-one million", and thus it is an aban number.