21201315000 has 160 divisors (see below), whose sum is σ = 66350573520. Its totient is φ = 5643648000.

The previous prime is 21201314957. The next prime is 21201315013. The reversal of 21201315000 is 51310212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 12794172 + ... + 12795828.

Almost surely, 2^21201315000 is an apocalyptic number.

21201315000 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 21201315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33175286760).

21201315000 is an abundant number, since it is smaller than the sum of its proper divisors (45149258520).

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

21201315000 is a wasteful number, since it uses less digits than its factorization.

21201315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 21201315000 its reverse (51310212), we get a palindrome (21252625212).

The spelling of 21201315000 in words is "twenty-one billion, two hundred one million, three hundred fifteen thousand".