221013210002300 has 144 divisors (see below), whose sum is σ = 507947124303360. Its totient is φ = 83295046813440.

The previous prime is 221013210002251. The next prime is 221013210002357. The reversal of 221013210002300 is 3200012310122.

It is a congruent number.

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, 5344013222 + ... + 5344054578.

It is an arithmetic number, because the mean of its divisors is an integer number (3527410585440).

Almost surely, 2^{221013210002300} is an apocalyptic number.

221013210002300 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 221013210002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253973562151680).

221013210002300 is an abundant number, since it is smaller than the sum of its proper divisors (286933914301060).

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

221013210002300 is a wasteful number, since it uses less digits than its factorization.

221013210002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76140 (or 76133 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 221013210002300 its reverse (3200012310122), we get a palindrome (224213222312422).

The spelling of 221013210002300 in words is "two hundred twenty-one trillion, thirteen billion, two hundred ten million, two thousand, three hundred".