201211221110220 has 144 divisors (see below), whose sum is σ = 614276245783200. Its totient is φ = 53310397390848.

The previous prime is 201211221110209. The next prime is 201211221110227. The reversal of 201211221110220 is 22011122112102.

201211221110220 is a `hidden beast` number, since 2 + 0 + 1 + 211 + 221 + 1 + 10 + 220 = 666.

201211221110220 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 201211221110193 and 201211221110202.

It is not an unprimeable number, because it can be changed into a prime (201211221110227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369905964 + ... + 370449516.

Almost surely, 2^{201211221110220} is an apocalyptic number.

201211221110220 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 201211221110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307138122891600).

201211221110220 is an abundant number, since it is smaller than the sum of its proper divisors (413065024672980).

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

201211221110220 is a wasteful number, since it uses less digits than its factorization.

201211221110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556824 (or 556819 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201211221110220 its reverse (22011122112102), we get a palindrome (223222343222322).

The spelling of 201211221110220 in words is "two hundred one trillion, two hundred eleven billion, two hundred twenty-one million, one hundred ten thousand, two hundred twenty".