10212332333320 has 256 divisors, whose sum is σ = 25194664958400. Its totient is φ = 3702929817600.

The previous prime is 10212332333317. The next prime is 10212332333323. The reversal of 10212332333320 is 2333323321201.

It is an interprime number because it is at equal distance from previous prime (10212332333317) and next prime (10212332333323).

It can be written as a sum of positive squares in 32 ways, for example, as 1822840215876 + 8389492117444 = 1350126^2 + 2896462^2 .

It is not an unprimeable number, because it can be changed into a prime (10212332333323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9045466516 + ... + 9045467644.

Almost surely, 2^{10212332333320} is an apocalyptic number.

10212332333320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212332333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12597332479200).

10212332333320 is an abundant number, since it is smaller than the sum of its proper divisors (14982332625080).

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

10212332333320 is a wasteful number, since it uses less digits than its factorization.

10212332333320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 10212332333320 its reverse (2333323321201), we get a palindrome (12545655654521).

The spelling of 10212332333320 in words is "ten trillion, two hundred twelve billion, three hundred thirty-two million, three hundred thirty-three thousand, three hundred twenty".