10000001000600 has 96 divisors (see below), whose sum is σ = 26127093071520. Its totient is φ = 3531772907520.

The previous prime is 10000001000599. The next prime is 10000001000681. The reversal of 10000001000600 is 600010000001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83552249 + ... + 83671848.

It is an arithmetic number, because the mean of its divisors is an integer number (272157219495).

Almost surely, 2^{10000001000600} is an apocalyptic number.

10000001000600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000001000600 is an abundant number, since it is smaller than the sum of its proper divisors (16127092070920).

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

10000001000600 is a wasteful number, since it uses less digits than its factorization.

10000001000600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167224149 (or 167224140 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10000001000600 its reverse (600010000001), we get a palindrome (10600011000601).

The spelling of 10000001000600 in words is "ten trillion, one million, six hundred", and thus it is an aban number.