211112002010112 has 528 divisors, whose sum is σ = 667186427681280. Its totient is φ = 59161781403648.

The previous prime is 211112002010099. The next prime is 211112002010113. The reversal of 211112002010112 is 211010200211112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211112002010091 and 211112002010100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211112002010113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2349847689 + ... + 2349937527.

Almost surely, 2^{211112002010112} 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 211112002010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333593213840640).

211112002010112 is an abundant number, since it is smaller than the sum of its proper divisors (456074425671168).

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

211112002010112 is a wasteful number, since it uses less digits than its factorization.

211112002010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90176 (or 90151 counting only the distinct ones).

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

Adding to 211112002010112 its reverse (211010200211112), we get a palindrome (422122202221224).

The spelling of 211112002010112 in words is "two hundred eleven trillion, one hundred twelve billion, two million, ten thousand, one hundred twelve".