221332210020 has 288 divisors, whose sum is σ = 706796528256. Its totient is φ = 58133376000.

The previous prime is 221332210003. The next prime is 221332210031. The reversal of 221332210020 is 20012233122.

221332210020 is a `hidden beast` number, since 221 + 3 + 322 + 100 + 20 = 666.

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 = 221332209975 and 221332210002.

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, 103570392 + ... + 103572528.

It is an arithmetic number, because the mean of its divisors is an integer number (2454154612).

Almost surely, 2^221332210020 is an apocalyptic number.

221332210020 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 221332210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353398264128).

221332210020 is an abundant number, since it is smaller than the sum of its proper divisors (485464318236).

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

221332210020 is a wasteful number, since it uses less digits than its factorization.

221332210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221332210020 its reverse (20012233122), we get a palindrome (241344443142).

The spelling of 221332210020 in words is "two hundred twenty-one billion, three hundred thirty-two million, two hundred ten thousand, twenty".