212100002210112 has 224 divisors, whose sum is σ = 567517718261760. Its totient is φ = 69906558504960.

The previous prime is 212100002210077. The next prime is 212100002210143. The reversal of 212100002210112 is 211012200001212.

It is a junction number, because it is equal to n+sod(n) for n = 212100002210091 and 212100002210100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12010863939 + ... + 12010881597.

It is an arithmetic number, because the mean of its divisors is an integer number (2533561242240).

Almost surely, 2^{212100002210112} 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 212100002210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283758859130880).

212100002210112 is an abundant number, since it is smaller than the sum of its proper divisors (355417716051648).

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

212100002210112 is a wasteful number, since it uses less digits than its factorization.

212100002210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19781 (or 19771 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212100002210112 its reverse (211012200001212), we get a palindrome (423112202211324).

The spelling of 212100002210112 in words is "two hundred twelve trillion, one hundred billion, two million, two hundred ten thousand, one hundred twelve".