10001000010001 has 128 divisors (see below), whose sum is σ = 14433134284800. Its totient is φ = 6672375336960.

The previous prime is 10001000009939. The next prime is 10001000010017.

10001000010001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10001000010001 - 2⁹ = 10001000009489 is a prime.

10001000010001 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (10001000010901) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 190182730 + ... + 190235308.

It is an arithmetic number, because the mean of its divisors is an integer number (112758861600).

Almost surely, 2^{10001000010001} is an apocalyptic number.

10001000010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001000010001 is a deficient number, since it is larger than the sum of its proper divisors (4432134274799).

10001000010001 is a wasteful number, since it uses less digits than its factorization.

10001000010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52839.

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

It can be divided in two parts, 100010000 and 10001, that multiplied together give a square (1000200010000 = 1000100²).

The spelling of 10001000010001 in words is "ten trillion, one billion, ten thousand, one".