211120212102210 has 384 divisors, whose sum is σ = 575446464552960. Its totient is φ = 53649223423488.

The previous prime is 211120212102199. The next prime is 211120212102287. The reversal of 211120212102210 is 12201212021112.

211120212102210 is a `hidden beast` number, since 21 + 1 + 120 + 212 + 102 + 210 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118407296979 + ... + 118407298761.

It is an arithmetic number, because the mean of its divisors is an integer number (1498558501440).

Almost surely, 2^{211120212102210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211120212102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287723232276480).

211120212102210 is an abundant number, since it is smaller than the sum of its proper divisors (364326252450750).

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

211120212102210 is a wasteful number, since it uses less digits than its factorization.

211120212102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 3579 counting only the distinct ones).

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

Adding to 211120212102210 its reverse (12201212021112), we get a palindrome (223321424123322).

The spelling of 211120212102210 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred twelve million, one hundred two thousand, two hundred ten".