211111022112 has 96 divisors (see below), whose sum is σ = 559513785600. Its totient is φ = 69691926528.

The previous prime is 211111022077. The next prime is 211111022131. The reversal of 211111022112 is 211220111112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 211111022091 and 211111022100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33575833 + ... + 33582119.

It is an arithmetic number, because the mean of its divisors is an integer number (5828268600).

Almost surely, 2^211111022112 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 211111022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279756892800).

211111022112 is an abundant number, since it is smaller than the sum of its proper divisors (348402763488).

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

211111022112 is a wasteful number, since it uses less digits than its factorization.

211111022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9618 (or 9610 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211111022112 its reverse (211220111112), we get a palindrome (422331133224).

The spelling of 211111022112 in words is "two hundred eleven billion, one hundred eleven million, twenty-two thousand, one hundred twelve".