221010211220 has 192 divisors, whose sum is σ = 526213739520. Its totient is φ = 77472350208.

The previous prime is 221010211199. The next prime is 221010211229. The reversal of 221010211220 is 22112010122.

221010211220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221010211195 and 221010211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221010211229) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 173069222 + ... + 173070498.

It is an arithmetic number, because the mean of its divisors is an integer number (2740696560).

Almost surely, 2^221010211220 is an apocalyptic number.

221010211220 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 221010211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263106869760).

221010211220 is an abundant number, since it is smaller than the sum of its proper divisors (305203528300).

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

221010211220 is a wasteful number, since it uses less digits than its factorization.

221010211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221010211220 its reverse (22112010122), we get a palindrome (243122221342).

The spelling of 221010211220 in words is "two hundred twenty-one billion, ten million, two hundred eleven thousand, two hundred twenty".