1006100601003 has 6 divisors (see below), whose sum is σ = 1453256423684. Its totient is φ = 670733733996.

The previous prime is 1006100601001. The next prime is 1006100601029. The reversal of 1006100601003 is 3001060016001.

1006100601003 is a `hidden beast` number, since 1 + 0 + 0 + 61 + 0 + 0 + 601 + 0 + 0 + 3 = 666.

It is not a de Polignac number, because 1006100601003 - 2¹ = 1006100601001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006100601001) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 55894477825 + ... + 55894477842.

Almost surely, 2^{1006100601003} is an apocalyptic number.

1006100601003 is a deficient number, since it is larger than the sum of its proper divisors (447155822681).

1006100601003 is a wasteful number, since it uses less digits than its factorization.

1006100601003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111788955673 (or 111788955670 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1006100601003 its reverse (3001060016001), we get a palindrome (4007160617004).

The spelling of 1006100601003 in words is "one trillion, six billion, one hundred million, six hundred one thousand, three".