221002022021220 has 384 divisors, whose sum is σ = 782725633966080. Its totient is φ = 51243798735360.

The previous prime is 221002022021161. The next prime is 221002022021239. The reversal of 221002022021220 is 22120220200122.

221002022021220 is a `hidden beast` number, since 2 + 210 + 0 + 2 + 0 + 220 + 212 + 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 = 221002022021193 and 221002022021202.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2968305514 + ... + 2968379966.

It is an arithmetic number, because the mean of its divisors is an integer number (2038348005120).

Almost surely, 2^{221002022021220} is an apocalyptic number.

221002022021220 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 221002022021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391362816983040).

221002022021220 is an abundant number, since it is smaller than the sum of its proper divisors (561723611944860).

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

221002022021220 is a wasteful number, since it uses less digits than its factorization.

221002022021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96232 (or 96224 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221002022021220 its reverse (22120220200122), we get a palindrome (243122242221342).

The spelling of 221002022021220 in words is "two hundred twenty-one trillion, two billion, twenty-two million, twenty-one thousand, two hundred twenty".