221131102320 has 240 divisors, whose sum is σ = 761365332000. Its totient is φ = 57483141120.

The previous prime is 221131102307. The next prime is 221131102331. The reversal of 221131102320 is 23201131122.

221131102320 is a `hidden beast` number, since 2 + 211 + 31 + 102 + 320 = 666.

221131102320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221131102293 and 221131102302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50152276 + ... + 50156684.

It is an arithmetic number, because the mean of its divisors is an integer number (3172355550).

Almost surely, 2^221131102320 is an apocalyptic number.

221131102320 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 221131102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380682666000).

221131102320 is an abundant number, since it is smaller than the sum of its proper divisors (540234229680).

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

221131102320 is a wasteful number, since it uses less digits than its factorization.

221131102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168 (or 6159 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221131102320 its reverse (23201131122), we get a palindrome (244332233442).

The spelling of 221131102320 in words is "two hundred twenty-one billion, one hundred thirty-one million, one hundred two thousand, three hundred twenty".