211020211121220 has 672 divisors, whose sum is σ = 693522122277600. Its totient is φ = 53843597918208.

The previous prime is 211020211121207. The next prime is 211020211121227. The reversal of 211020211121220 is 22121112020112.

211020211121220 is a `hidden beast` number, since 2 + 110 + 2 + 0 + 211 + 121 + 220 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 46341457191936 + 164678753929284 = 6807456^2 + 12832722^2 .

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 = 211020211121193 and 211020211121202.

It is not an unprimeable number, because it can be changed into a prime (211020211121227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 21951541134 + ... + 21951550746.

It is an arithmetic number, because the mean of its divisors is an integer number (1032026967675).

Almost surely, 2^{211020211121220} is an apocalyptic number.

211020211121220 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 211020211121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346761061138800).

211020211121220 is an abundant number, since it is smaller than the sum of its proper divisors (482501911156380).

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

211020211121220 is a wasteful number, since it uses less digits than its factorization.

211020211121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10131 (or 10114 counting only the distinct ones).

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

Adding to 211020211121220 its reverse (22121112020112), we get a palindrome (233141323141332).

The spelling of 211020211121220 in words is "two hundred eleven trillion, twenty billion, two hundred eleven million, one hundred twenty-one thousand, two hundred twenty".