100010033323200 has 8064 divisors, whose sum is σ = 529976703320064. Its totient is φ = 17211211776000.

The previous prime is 100010033323159. The next prime is 100010033323219. The reversal of 100010033323200 is 2323330010001.

100010033323200 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 10 + 0 + 3 + 332 + 320 + 0 = 666.

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 1151 ways as a sum of consecutive naturals, for example, 380266286269 + ... + 380266286531.

It is an arithmetic number, because the mean of its divisors is an integer number (65721317376).

Almost surely, 2^{100010033323200} is an apocalyptic number.

100010033323200 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 100010033323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264988351660032).

100010033323200 is an abundant number, since it is smaller than the sum of its proper divisors (429966669996864).

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

100010033323200 is a wasteful number, since it uses less digits than its factorization.

100010033323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 395 counting only the distinct ones).

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

Adding to 100010033323200 its reverse (2323330010001), we get a palindrome (102333363333201).

The spelling of 100010033323200 in words is "one hundred trillion, ten billion, thirty-three million, three hundred twenty-three thousand, two hundred".