10001001000101 has 32 divisors (see below), whose sum is σ = 10565646153216. Its totient is φ = 9455491584000.

The previous prime is 10001001000073. The next prime is 10001001000119. The reversal of 10001001000101 is 10100010010001.

It is a cyclic number.

It is not a de Polignac number, because 10001001000101 - 2³⁸ = 9726123093157 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001001000121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115099865 + ... + 115186721.

It is an arithmetic number, because the mean of its divisors is an integer number (330176442288).

Almost surely, 2^{10001001000101} is an apocalyptic number.

It is an amenable number.

10001001000101 is a deficient number, since it is larger than the sum of its proper divisors (564645153115).

10001001000101 is a wasteful number, since it uses less digits than its factorization.

10001001000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87453.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10001001000101 its reverse (10100010010001), we get a palindrome (20101011010102).

The spelling of 10001001000101 in words is "ten trillion, one billion, one million, one hundred one", and thus it is an aban number.