10001000101001 has 16 divisors (see below), whose sum is σ = 12313336896000. Its totient is φ = 7910041825728.

The previous prime is 10001000100991. The next prime is 10001000101009. The reversal of 10001000101001 is 10010100010001.

It is not a de Polignac number, because 10001000101001 - 2¹⁴ = 10001000084617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001000101009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19448801 + ... + 19956398.

It is an arithmetic number, because the mean of its divisors is an integer number (769583556000).

Almost surely, 2^{10001000101001} is an apocalyptic number.

It is an amenable number.

10001000101001 is a deficient number, since it is larger than the sum of its proper divisors (2312336794999).

10001000101001 is a wasteful number, since it uses less digits than its factorization.

10001000101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39408008.

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

Adding to 10001000101001 its reverse (10010100010001), we get a palindrome (20011100111002).

The spelling of 10001000101001 in words is "ten trillion, one billion, one hundred one thousand, one".