221011333020 has 144 divisors (see below), whose sum is σ = 677685651552. Its totient is φ = 58297075200.

The previous prime is 221011333007. The next prime is 221011333031. The reversal of 221011333020 is 20333110122.

221011333020 is a `hidden beast` number, since 221 + 0 + 113 + 330 + 2 + 0 = 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 = 221011332984 and 221011333002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21138114 + ... + 21148566.

It is an arithmetic number, because the mean of its divisors is an integer number (4706150358).

Almost surely, 2^221011333020 is an apocalyptic number.

221011333020 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 221011333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338842825776).

221011333020 is an abundant number, since it is smaller than the sum of its proper divisors (456674318532).

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

221011333020 is a wasteful number, since it uses less digits than its factorization.

221011333020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11732 (or 11727 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 221011333020 its reverse (20333110122), we get a palindrome (241344443142).

The spelling of 221011333020 in words is "two hundred twenty-one billion, eleven million, three hundred thirty-three thousand, twenty".