10205158710200 has 48 divisors (see below), whose sum is σ = 24012861437880. Its totient is φ = 4032881989760.

The previous prime is 10205158710199. The next prime is 10205158710209. The reversal of 10205158710200 is 201785150201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205158710209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 307367699 + ... + 307400898.

Almost surely, 2^{10205158710200} is an apocalyptic number.

10205158710200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10205158710200 is an abundant number, since it is smaller than the sum of its proper divisors (13807702727680).

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

10205158710200 is a wasteful number, since it uses less digits than its factorization.

10205158710200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614768696 (or 614768687 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 32.

The spelling of 10205158710200 in words is "ten trillion, two hundred five billion, one hundred fifty-eight million, seven hundred ten thousand, two hundred".