221210100320 has 192 divisors, whose sum is σ = 590019800832. Its totient is φ = 77665536000.

The previous prime is 221210100299. The next prime is 221210100323. The reversal of 221210100320 is 23001012122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221210100295 and 221210100304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221210100323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8517755 + ... + 8543685.

It is an arithmetic number, because the mean of its divisors is an integer number (3073019796).

Almost surely, 2^221210100320 is an apocalyptic number.

221210100320 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 221210100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295009900416).

221210100320 is an abundant number, since it is smaller than the sum of its proper divisors (368809700512).

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

221210100320 is a wasteful number, since it uses less digits than its factorization.

221210100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26125 (or 26117 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 221210100320 its reverse (23001012122), we get a palindrome (244211112442).

The spelling of 221210100320 in words is "two hundred twenty-one billion, two hundred ten million, one hundred thousand, three hundred twenty".