211022220212010 has 320 divisors, whose sum is σ = 583278405732000. Its totient is φ = 54726523527168.

The previous prime is 211022220211963. The next prime is 211022220212021. The reversal of 211022220212010 is 10212022220112.

It is a happy number.

211022220212010 is a `hidden beast` number, since 2 + 110 + 222 + 202 + 120 + 10 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 17914149365121 + 193108070846889 = 4232511^2 + 13896333^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1206933276 + ... + 1207108104.

Almost surely, 2^{211022220212010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211022220212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291639202866000).

211022220212010 is an abundant number, since it is smaller than the sum of its proper divisors (372256185519990).

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

211022220212010 is a wasteful number, since it uses less digits than its factorization.

211022220212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175207 (or 175198 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211022220212010 its reverse (10212022220112), we get a palindrome (221234242432122).

The spelling of 211022220212010 in words is "two hundred eleven trillion, twenty-two billion, two hundred twenty million, two hundred twelve thousand, ten".