212101012112112 has 240 divisors, whose sum is σ = 608036268902400. Its totient is φ = 69002367782400.

The previous prime is 212101012112111. The next prime is 212101012112117. The reversal of 212101012112112 is 211211210101212.

It is a happy number.

212101012112112 is a `hidden beast` number, since 21 + 210 + 10 + 1 + 211 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101012112111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711067033 + ... + 711365255.

It is an arithmetic number, because the mean of its divisors is an integer number (2533484453760).

Almost surely, 2^{212101012112112} 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 212101012112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304018134451200).

212101012112112 is an abundant number, since it is smaller than the sum of its proper divisors (395935256790288).

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

212101012112112 is a wasteful number, since it uses less digits than its factorization.

212101012112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299036 (or 299027 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212101012112112 its reverse (211211210101212), we get a palindrome (423312222213324).

The spelling of 212101012112112 in words is "two hundred twelve trillion, one hundred one billion, twelve million, one hundred twelve thousand, one hundred twelve".