212101121112 has 128 divisors (see below), whose sum is σ = 567735920640. Its totient is φ = 65797079040.

The previous prime is 212101121077. The next prime is 212101121131. The reversal of 212101121112 is 211121101212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212101121091 and 212101121100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72462193 + ... + 72465119.

It is an arithmetic number, because the mean of its divisors is an integer number (4435436880).

Almost surely, 2^212101121112 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 212101121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283867960320).

212101121112 is an abundant number, since it is smaller than the sum of its proper divisors (355634799528).

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

212101121112 is a wasteful number, since it uses less digits than its factorization.

212101121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4881 (or 4877 counting only the distinct ones).

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

Adding to 212101121112 its reverse (211121101212), we get a palindrome (423222222324).

The spelling of 212101121112 in words is "two hundred twelve billion, one hundred one million, one hundred twenty-one thousand, one hundred twelve".