10212122202112 has 104 divisors (see below), whose sum is σ = 20719615475520. Its totient is φ = 5031657308160.

The previous prime is 10212122202047. The next prime is 10212122202127. The reversal of 10212122202112 is 21120222121201.

It is a self number, because there is not a number n which added to its sum of digits gives 10212122202112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 680211118 + ... + 680226130.

It is an arithmetic number, because the mean of its divisors is an integer number (199227071880).

Almost surely, 2^{10212122202112} 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 10212122202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10359807737760).

10212122202112 is an abundant number, since it is smaller than the sum of its proper divisors (10507493273408).

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

10212122202112 is an equidigital number, since it uses as much as digits as its factorization.

10212122202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17447 (or 17425 counting only the distinct ones).

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

Adding to 10212122202112 its reverse (21120222121201), we get a palindrome (31332344323313).

The spelling of 10212122202112 in words is "ten trillion, two hundred twelve billion, one hundred twenty-two million, two hundred two thousand, one hundred twelve".