212101011122112 has 168 divisors, whose sum is σ = 718757737183200. Its totient is φ = 58510623725568.

The previous prime is 212101011122071. The next prime is 212101011122131. The reversal of 212101011122112 is 211221110101212.

It is a happy number.

212101011122112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 906855787 + ... + 907089642.

Almost surely, 2^{212101011122112} is an apocalyptic number.

It is an amenable number.

212101011122112 is an abundant number, since it is smaller than the sum of its proper divisors (506656726061088).

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

212101011122112 is a wasteful number, since it uses less digits than its factorization.

212101011122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813945483 (or 1813945470 counting only the distinct ones).

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

Adding to 212101011122112 its reverse (211221110101212), we get a palindrome (423322121223324).

The spelling of 212101011122112 in words is "two hundred twelve trillion, one hundred one billion, eleven million, one hundred twenty-two thousand, one hundred twelve".