10000333004200 has 576 divisors, whose sum is σ = 30960774633600. Its totient is φ = 2932510310400.

The previous prime is 10000333004113. The next prime is 10000333004213. The reversal of 10000333004200 is 240033300001.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3833012496 + ... + 3833015104.

It is an arithmetic number, because the mean of its divisors is an integer number (53751344850).

Almost surely, 2^{10000333004200} is an apocalyptic number.

10000333004200 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 10000333004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15480387316800).

10000333004200 is an abundant number, since it is smaller than the sum of its proper divisors (20960441629400).

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

10000333004200 is an equidigital number, since it uses as much as digits as its factorization.

10000333004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10000333004200 its reverse (240033300001), we get a palindrome (10240366304201).

The spelling of 10000333004200 in words is "ten trillion, three hundred thirty-three million, four thousand, two hundred".