10200857143200 has 72 divisors (see below), whose sum is σ = 33203790008928. Its totient is φ = 2720228570880.

The previous prime is 10200857143129. The next prime is 10200857143201. The reversal of 10200857143200 is 234175800201.

It is not an unprimeable number, because it can be changed into a prime (10200857143201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2125176172 + ... + 2125180971.

It is an arithmetic number, because the mean of its divisors is an integer number (461163750124).

Almost surely, 2^{10200857143200} is an apocalyptic number.

10200857143200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200857143200 is an abundant number, since it is smaller than the sum of its proper divisors (23002932865728).

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

10200857143200 is a wasteful number, since it uses less digits than its factorization.

10200857143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250357166 (or 4250357153 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 10200857143200 in words is "ten trillion, two hundred billion, eight hundred fifty-seven million, one hundred forty-three thousand, two hundred".