21300000220032 has 128 divisors (see below), whose sum is σ = 58662432576000. Its totient is φ = 6839555487744.

The previous prime is 21300000220013. The next prime is 21300000220043. The reversal of 21300000220032 is 23002200000312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 21300000219993 and 21300000220020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2710213 + ... + 7067195.

It is an arithmetic number, because the mean of its divisors is an integer number (458300254500).

Almost surely, 2^{21300000220032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21300000220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29331216288000).

21300000220032 is an abundant number, since it is smaller than the sum of its proper divisors (37362432355968).

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

21300000220032 is a wasteful number, since it uses less digits than its factorization.

21300000220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4357468 (or 4357456 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 21300000220032 its reverse (23002200000312), we get a palindrome (44302200220344).

The spelling of 21300000220032 in words is "twenty-one trillion, three hundred billion, two hundred twenty thousand, thirty-two".