221010211010220 has 384 divisors, whose sum is σ = 690552656640000. Its totient is φ = 52529512071168.

The previous prime is 221010211010219. The next prime is 221010211010233. The reversal of 221010211010220 is 22010112010122.

221010211010220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221010211010220.

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, 1073027806 + ... + 1073233754.

It is an arithmetic number, because the mean of its divisors is an integer number (1798314210000).

Almost surely, 2^{221010211010220} is an apocalyptic number.

221010211010220 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 221010211010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345276328320000).

221010211010220 is an abundant number, since it is smaller than the sum of its proper divisors (469542445629780).

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

221010211010220 is a wasteful number, since it uses less digits than its factorization.

221010211010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206457 (or 206455 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221010211010220 its reverse (22010112010122), we get a palindrome (243020323020342).

The spelling of 221010211010220 in words is "two hundred twenty-one trillion, ten billion, two hundred eleven million, ten thousand, two hundred twenty".