10100303323200 has 1008 divisors, whose sum is σ = 38880330428160. Its totient is φ = 2477629440000.

The previous prime is 10100303323199. The next prime is 10100303323211. The reversal of 10100303323200 is 232330300101.

10100303323200 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 3 + 0 + 332 + 320 + 0 = 666.

It is a super-2 number, since 2×10100303323200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1953256615 + ... + 1953261785.

Almost surely, 2^{10100303323200} is an apocalyptic number.

10100303323200 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 10100303323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19440165214080).

10100303323200 is an abundant number, since it is smaller than the sum of its proper divisors (28780027104960).

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

10100303323200 is a wasteful number, since it uses less digits than its factorization.

10100303323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5396 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10100303323200 its reverse (232330300101), we get a palindrome (10332633623301).

The spelling of 10100303323200 in words is "ten trillion, one hundred billion, three hundred three million, three hundred twenty-three thousand, two hundred".