210221002211112 has 384 divisors, whose sum is σ = 634531155148800. Its totient is φ = 64965462912000.

The previous prime is 210221002211093. The next prime is 210221002211119. The reversal of 210221002211112 is 211112200122012.

210221002211112 is a `hidden beast` number, since 210 + 2 + 210 + 0 + 221 + 11 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (210221002211119) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2700676689 + ... + 2700754527.

It is an arithmetic number, because the mean of its divisors is an integer number (1652424883200).

Almost surely, 2^{210221002211112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210221002211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317265577574400).

210221002211112 is an abundant number, since it is smaller than the sum of its proper divisors (424310152937688).

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

210221002211112 is a wasteful number, since it uses less digits than its factorization.

210221002211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79099 (or 79083 counting only the distinct ones).

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

Adding to 210221002211112 its reverse (211112200122012), we get a palindrome (421333202333124).

The spelling of 210221002211112 in words is "two hundred ten trillion, two hundred twenty-one billion, two million, two hundred eleven thousand, one hundred twelve".