211011211112 has 96 divisors (see below), whose sum is σ = 434133454680. Its totient is φ = 96097996800.

The previous prime is 211011211097. The next prime is 211011211129. The reversal of 211011211112 is 211112110112.

211011211112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1717770916 + 209293440196 = 41446^2 + 457486^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42738308 + ... + 42743244.

Almost surely, 2^211011211112 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 211011211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217066727340).

211011211112 is an abundant number, since it is smaller than the sum of its proper divisors (223122243568).

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

211011211112 is a wasteful number, since it uses less digits than its factorization.

211011211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5383 (or 5366 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211011211112 its reverse (211112110112), we get a palindrome (422123321224).

The spelling of 211011211112 in words is "two hundred eleven billion, eleven million, two hundred eleven thousand, one hundred twelve".