211100211102222 has 96 divisors (see below), whose sum is σ = 497737287815040. Its totient is φ = 64272894105600.

The previous prime is 211100211102203. The next prime is 211100211102223. The reversal of 211100211102222 is 222201112001112.

211100211102222 is a `hidden beast` number, since 21 + 110 + 0 + 211 + 102 + 222 = 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 = 211100211102195 and 211100211102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211100211102223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37475179 + ... + 42738617.

It is an arithmetic number, because the mean of its divisors is an integer number (5184763414740).

Almost surely, 2^{211100211102222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211100211102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248868643907520).

211100211102222 is an abundant number, since it is smaller than the sum of its proper divisors (286637076712818).

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

211100211102222 is a wasteful number, since it uses less digits than its factorization.

211100211102222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265258 (or 5265255 counting only the distinct ones).

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

Adding to 211100211102222 its reverse (222201112001112), we get a palindrome (433301323103334).

The spelling of 211100211102222 in words is "two hundred eleven trillion, one hundred billion, two hundred eleven million, one hundred two thousand, two hundred twenty-two".