221021314316220 has 192 divisors, whose sum is σ = 675721595437056. Its totient is φ = 53533171211520.

The previous prime is 221021314316129. The next prime is 221021314316233. The reversal of 221021314316220 is 22613413120122.

It is a happy number.

221021314316220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3874343737 + ... + 3874400783.

It is an arithmetic number, because the mean of its divisors is an integer number (3519383309568).

Almost surely, 2^{221021314316220} is an apocalyptic number.

221021314316220 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 221021314316220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337860797718528).

221021314316220 is an abundant number, since it is smaller than the sum of its proper divisors (454700281120836).

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

221021314316220 is a wasteful number, since it uses less digits than its factorization.

221021314316220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62200 (or 62198 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 221021314316220 its reverse (22613413120122), we get a palindrome (243634727436342).

The spelling of 221021314316220 in words is "two hundred twenty-one trillion, twenty-one billion, three hundred fourteen million, three hundred sixteen thousand, two hundred twenty".