212102120202012 has 336 divisors, whose sum is σ = 561797442172512. Its totient is φ = 70033604659200.

The previous prime is 212102120201929. The next prime is 212102120202019. The reversal of 212102120202012 is 210202021201212.

It is a happy number.

212102120202012 is a `hidden beast` number, since 21 + 210 + 212 + 0 + 20 + 201 + 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 (212102120202019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 201809818887 + ... + 201809819937.

It is an arithmetic number, because the mean of its divisors is an integer number (1672016196942).

Almost surely, 2^{212102120202012} 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 212102120202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280898721086256).

212102120202012 is an abundant number, since it is smaller than the sum of its proper divisors (349695321970500).

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

212102120202012 is a wasteful number, since it uses less digits than its factorization.

212102120202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212102120202012 its reverse (210202021201212), we get a palindrome (422304141403224).

The spelling of 212102120202012 in words is "two hundred twelve trillion, one hundred two billion, one hundred twenty million, two hundred two thousand, twelve".