10100006000600 has 24 divisors (see below), whose sum is σ = 23482513951860. Its totient is φ = 4040002400160.

The previous prime is 10100006000543. The next prime is 10100006000639. The reversal of 10100006000600 is 600060000101.

10100006000600 is a modest number, since divided by 6000600 gives 101000 as remainder.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 25250014802 + ... + 25250015201.

Almost surely, 2^{10100006000600} is an apocalyptic number.

10100006000600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100006000600 is an abundant number, since it is smaller than the sum of its proper divisors (13382507951260).

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

10100006000600 is a wasteful number, since it uses less digits than its factorization.

10100006000600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50500030019 (or 50500030010 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10100006000600 its reverse (600060000101), we get a palindrome (10700066000701).

The spelling of 10100006000600 in words is "ten trillion, one hundred billion, six million, six hundred", and thus it is an aban number.