10001001000001 has 8 divisors (see below), whose sum is σ = 10914195513600. Its totient is φ = 9088475253840.

The previous prime is 10001000999953. The next prime is 10001001000043. The reversal of 10001001000001 is 10000010010001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10001001000001 - 2⁹ = 10001000999489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001001000401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167160586 + ... + 167220403.

It is an arithmetic number, because the mean of its divisors is an integer number (1364274439200).

Almost surely, 2^{10001001000001} is an apocalyptic number.

10001001000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001001000001 is a deficient number, since it is larger than the sum of its proper divisors (913194513599).

10001001000001 is a wasteful number, since it uses less digits than its factorization.

10001001000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334383719.

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

Adding to 10001001000001 its reverse (10000010010001), we get a palindrome (20001011010002).

It can be divided in two parts, 1000 and 1001000001, that added together give a palindrome (1001001001).

The spelling of 10001001000001 in words is "ten trillion, one billion, one million, one", and thus it is an aban number and an uban number.