10230133120200 has 576 divisors, whose sum is σ = 40559657349120. Its totient is φ = 2261276352000.

The previous prime is 10230133120187. The next prime is 10230133120261. The reversal of 10230133120200 is 202133103201.

10230133120200 is a `hidden beast` number, since 10 + 2 + 301 + 33 + 120 + 200 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 598000047 + ... + 598017153.

Almost surely, 2^{10230133120200} is an apocalyptic number.

10230133120200 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 10230133120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20279828674560).

10230133120200 is an abundant number, since it is smaller than the sum of its proper divisors (30329524228920).

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

10230133120200 is a wasteful number, since it uses less digits than its factorization.

10230133120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18698 (or 18686 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10230133120200 its reverse (202133103201), we get a palindrome (10432266223401).

The spelling of 10230133120200 in words is "ten trillion, two hundred thirty billion, one hundred thirty-three million, one hundred twenty thousand, two hundred".