10233402100200 has 192 divisors, whose sum is σ = 35361005500800. Its totient is φ = 2720188224000.

The previous prime is 10233402100153. The next prime is 10233402100219. The reversal of 10233402100200 is 200120433201.

10233402100200 is a `hidden beast` number, since 1 + 0 + 23 + 340 + 2 + 100 + 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1337076 + ... + 4717475.

It is an arithmetic number, because the mean of its divisors is an integer number (184171903650).

Almost surely, 2^{10233402100200} is an apocalyptic number.

10233402100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10233402100200 is an abundant number, since it is smaller than the sum of its proper divisors (25127603400600).

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

10233402100200 is a wasteful number, since it uses less digits than its factorization.

10233402100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6054889 (or 6054874 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10233402100200 its reverse (200120433201), we get a palindrome (10433522533401).

The spelling of 10233402100200 in words is "ten trillion, two hundred thirty-three billion, four hundred two million, one hundred thousand, two hundred".