10092819200200 has 48 divisors (see below), whose sum is σ = 25599059613360. Its totient is φ = 3670116072000.

The previous prime is 10092819200197. The next prime is 10092819200239. The reversal of 10092819200200 is 200291829001.

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 11 ways as a sum of consecutive naturals, for example, 2293820346 + ... + 2293824745.

It is an arithmetic number, because the mean of its divisors is an integer number (533313741945).

Almost surely, 2^{10092819200200} is an apocalyptic number.

10092819200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10092819200200 is an abundant number, since it is smaller than the sum of its proper divisors (15506240413160).

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

10092819200200 is a wasteful number, since it uses less digits than its factorization.

10092819200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4587645118 (or 4587645109 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 10092819200200 in words is "ten trillion, ninety-two billion, eight hundred nineteen million, two hundred thousand, two hundred".