221100212330320 has 80 divisors (see below), whose sum is σ = 554566448399760. Its totient is φ = 81667203817472.

The previous prime is 221100212330293. The next prime is 221100212330329. The reversal of 221100212330320 is 23033212001122.

It can be written as a sum of positive squares in 8 ways, for example, as 26826681584704 + 194273530745616 = 5179448^2 + 13938204^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 221100212330291 and 221100212330300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221100212330329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1533641935 + ... + 1533786094.

It is an arithmetic number, because the mean of its divisors is an integer number (6932080604997).

Almost surely, 2^{221100212330320} is an apocalyptic number.

221100212330320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221100212330320 is an abundant number, since it is smaller than the sum of its proper divisors (333466236069440).

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

221100212330320 is a wasteful number, since it uses less digits than its factorization.

221100212330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067428112 (or 3067428106 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 221100212330320 its reverse (23033212001122), we get a palindrome (244133424331442).

The spelling of 221100212330320 in words is "two hundred twenty-one trillion, one hundred billion, two hundred twelve million, three hundred thirty thousand, three hundred twenty".