10001000001006 has 48 divisors (see below), whose sum is σ = 24764886841344. Its totient is φ = 2857370200272.

The previous prime is 10001000000963. The next prime is 10001000001007. The reversal of 10001000001006 is 60010000010001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001000001007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5580951 + ... + 7151853.

It is an arithmetic number, because the mean of its divisors is an integer number (515935142528).

Almost surely, 2^{10001000001006} is an apocalyptic number.

10001000001006 is an abundant number, since it is smaller than the sum of its proper divisors (14763886840338).

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

10001000001006 is a wasteful number, since it uses less digits than its factorization.

10001000001006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621445 (or 1621442 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10001000001006 its reverse (60010000010001), we get a palindrome (70011000011007).

The spelling of 10001000001006 in words is "ten trillion, one billion, one thousand, six".