211210220221220 has 384 divisors, whose sum is σ = 510090949767168. Its totient is φ = 72782131968000.

The previous prime is 211210220221157. The next prime is 211210220221237. The reversal of 211210220221220 is 22122022012112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211210220221192 and 211210220221201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49778508419 + ... + 49778512661.

It is an arithmetic number, because the mean of its divisors is an integer number (1328361848352).

Almost surely, 2^{211210220221220} is an apocalyptic number.

211210220221220 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 211210220221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255045474883584).

211210220221220 is an abundant number, since it is smaller than the sum of its proper divisors (298880729545948).

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

211210220221220 is a wasteful number, since it uses less digits than its factorization.

211210220221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211210220221220 its reverse (22122022012112), we get a palindrome (233332242233332).

It can be divided in two parts, 2112102 and 20221220, that added together give a palindrome (22333322).

The spelling of 211210220221220 in words is "two hundred eleven trillion, two hundred ten billion, two hundred twenty million, two hundred twenty-one thousand, two hundred twenty".