221020112001300 has 288 divisors, whose sum is σ = 700367357620224. Its totient is φ = 53572952832000.

The previous prime is 221020112001289. The next prime is 221020112001323. The reversal of 221020112001300 is 3100211020122.

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

It is a self number, because there is not a number n which added to its sum of digits gives 221020112001300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76203499 + ... + 79050701.

It is an arithmetic number, because the mean of its divisors is an integer number (2431831102848).

Almost surely, 2^{221020112001300} is an apocalyptic number.

221020112001300 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 221020112001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350183678810112).

221020112001300 is an abundant number, since it is smaller than the sum of its proper divisors (479347245618924).

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

221020112001300 is a wasteful number, since it uses less digits than its factorization.

221020112001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847759 (or 2847752 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 221020112001300 its reverse (3100211020122), we get a palindrome (224120323021422).

The spelling of 221020112001300 in words is "two hundred twenty-one trillion, twenty billion, one hundred twelve million, one thousand, three hundred".