10000101000001 has 32 divisors (see below), whose sum is σ = 11726005201920. Its totient is φ = 8350304557056.

The previous prime is 10000100999989. The next prime is 10000101000007. The reversal of 10000101000001 is 10000010100001.

It is not a de Polignac number, because 10000101000001 - 2³⁵ = 9965741261633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000101000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64611015 + ... + 64765603.

It is an arithmetic number, because the mean of its divisors is an integer number (366437662560).

Almost surely, 2^{10000101000001} is an apocalyptic number.

It is an amenable number.

10000101000001 is a deficient number, since it is larger than the sum of its proper divisors (1725904201919).

10000101000001 is a wasteful number, since it uses less digits than its factorization.

10000101000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155553.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10000101000001 its reverse (10000010100001), we get a palindrome (20000111100002).

It can be divided in two parts, 1000010100000 and 1, that added together give a palindrome (1000010100001).

The spelling of 10000101000001 in words is "ten trillion, one hundred one million, one", and thus it is an aban number.