211100010112 has 128 divisors (see below), whose sum is σ = 446812876800. Its totient is φ = 99066240000.

The previous prime is 211100010071. The next prime is 211100010227. The reversal of 211100010112 is 211010001112.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231722937 + ... + 231723847.

It is an arithmetic number, because the mean of its divisors is an integer number (3490725600).

Almost surely, 2^211100010112 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 211100010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223406438400).

211100010112 is an abundant number, since it is smaller than the sum of its proper divisors (235712866688).

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

211100010112 is a wasteful number, since it uses less digits than its factorization.

211100010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 211100010112 its reverse (211010001112), we get a palindrome (422110011224).

The spelling of 211100010112 in words is "two hundred eleven billion, one hundred million, ten thousand, one hundred twelve".