10000009901 has 32 divisors (see below), whose sum is σ = 11817163008. Its totient is φ = 8286382080.

The previous prime is 10000009847. The next prime is 10000009931. The reversal of 10000009901 is 10990000001.

It is a cyclic number.

It is not a de Polignac number, because 10000009901 - 2¹⁸ = 9999747757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000009931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5809721 + ... + 5811441.

It is an arithmetic number, because the mean of its divisors is an integer number (369286344).

Almost surely, 2^10000009901 is an apocalyptic number.

It is an amenable number.

10000009901 is a deficient number, since it is larger than the sum of its proper divisors (1817153107).

10000009901 is a wasteful number, since it uses less digits than its factorization.

10000009901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021.

The product of its (nonzero) digits is 81, while the sum is 20.

Adding to 10000009901 its reverse (10990000001), we get a palindrome (20990009902).

The spelling of 10000009901 in words is "ten billion, nine thousand, nine hundred one".