211100221210122 has 64 divisors (see below), whose sum is σ = 473682345292800. Its totient is φ = 69681647133360.

The previous prime is 211100221210117. The next prime is 211100221210169. The reversal of 211100221210122 is 221012122001112.

211100221210122 is a `hidden beast` number, since 2 + 1 + 110 + 0 + 221 + 210 + 122 = 666.

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 = 211100221210095 and 211100221210104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7475547 + ... + 21865137.

It is an arithmetic number, because the mean of its divisors is an integer number (7401286645200).

Almost surely, 2^{211100221210122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211100221210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236841172646400).

211100221210122 is an abundant number, since it is smaller than the sum of its proper divisors (262582124082678).

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

211100221210122 is a wasteful number, since it uses less digits than its factorization.

211100221210122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14392248 (or 14392242 counting only the distinct ones).

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

Adding to 211100221210122 its reverse (221012122001112), we get a palindrome (432112343211234).

The spelling of 211100221210122 in words is "two hundred eleven trillion, one hundred billion, two hundred twenty-one million, two hundred ten thousand, one hundred twenty-two".