10001001110001 has 16 divisors (see below), whose sum is σ = 14546997800640. Its totient is φ = 6061176504320.

The previous prime is 10001001109969. The next prime is 10001001110033. The reversal of 10001001110001 is 10001110010001.

It is an interprime number because it is at equal distance from previous prime (10001001109969) and next prime (10001001110033).

It is a cyclic number.

It is not a de Polignac number, because 10001001110001 - 2⁵ = 10001001109969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001001110501) 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, 5327545 + ... + 6955913.

It is an arithmetic number, because the mean of its divisors is an integer number (909187362540).

Almost surely, 2^{10001001110001} is an apocalyptic number.

10001001110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001001110001 is a deficient number, since it is larger than the sum of its proper divisors (4545996690639).

10001001110001 is a wasteful number, since it uses less digits than its factorization.

10001001110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814496.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10001001110001 its reverse (10001110010001), we get a palindrome (20002111120002).

It can be divided in two parts, 1000 and 1001110001, that added together give a palindrome (1001111001).

The spelling of 10001001110001 in words is "ten trillion, one billion, one million, one hundred ten thousand, one".