10020434333112 has 192 divisors, whose sum is σ = 31845261127680. Its totient is φ = 2786854484736.

The previous prime is 10020434333089. The next prime is 10020434333123. The reversal of 10020434333112 is 21133343402001.

It is a happy number.

10020434333112 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 0 + 4 + 343 + 3 + 311 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5560873 + ... + 7138919.

It is an arithmetic number, because the mean of its divisors is an integer number (165860735040).

Almost surely, 2^{10020434333112} is an apocalyptic number.

10020434333112 is a gapful number since it is divisible by the number (12) 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 10020434333112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15922630563840).

10020434333112 is an abundant number, since it is smaller than the sum of its proper divisors (21824826794568).

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

10020434333112 is a wasteful number, since it uses less digits than its factorization.

10020434333112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578402 (or 1578395 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10020434333112 its reverse (21133343402001), we get a palindrome (31153777735113).

The spelling of 10020434333112 in words is "ten trillion, twenty billion, four hundred thirty-four million, three hundred thirty-three thousand, one hundred twelve".