211111020111112 has 192 divisors, whose sum is σ = 448669590490800. Its totient is φ = 93023529984000.

The previous prime is 211111020111077. The next prime is 211111020111143.

211111020111112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 105127413023556 + 105983607087556 = 10253166^2 + 10294834^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 977669814 + ... + 977885722.

Almost surely, 2^{211111020111112} is an apocalyptic number.

211111020111112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211111020111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224334795245400).

211111020111112 is an abundant number, since it is smaller than the sum of its proper divisors (237558570379688).

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

211111020111112 is a wasteful number, since it uses less digits than its factorization.

211111020111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216248 (or 216233 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

It can be divided in two parts, 2111110 and 20111112, that added together give a palindrome (22222222).

The spelling of 211111020111112 in words is "two hundred eleven trillion, one hundred eleven billion, twenty million, one hundred eleven thousand, one hundred twelve".