212201022102112 has 96 divisors (see below), whose sum is σ = 437913992355840. Its totient is φ = 101026710597120.

The previous prime is 212201022102107. The next prime is 212201022102131. The reversal of 212201022102112 is 211201220102212.

It is a self number, because there is not a number n which added to its sum of digits gives 212201022102112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5491867689 + ... + 5491906327.

It is an arithmetic number, because the mean of its divisors is an integer number (4561604087040).

Almost surely, 2^{212201022102112} 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 212201022102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218956996177920).

212201022102112 is an abundant number, since it is smaller than the sum of its proper divisors (225712970253728).

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

212201022102112 is a wasteful number, since it uses less digits than its factorization.

212201022102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72356 (or 72348 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 212201022102112 its reverse (211201220102212), we get a palindrome (423402242204324).

The spelling of 212201022102112 in words is "two hundred twelve trillion, two hundred one billion, twenty-two million, one hundred two thousand, one hundred twelve".