10001010000001 has 4 divisors (see below), whose sum is σ = 10233591627952. Its totient is φ = 9768428372052.

The previous prime is 10001009999993. The next prime is 10001010000013. The reversal of 10001010000001 is 10000001010001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10001010000001 - 2³ = 10001009999993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001010000901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116290813911 + ... + 116290813996.

It is an arithmetic number, because the mean of its divisors is an integer number (2558397906988).

Almost surely, 2^{10001010000001} is an apocalyptic number.

It is an amenable number.

10001010000001 is a deficient number, since it is larger than the sum of its proper divisors (232581627951).

10001010000001 is an equidigital number, since it uses as much as digits as its factorization.

10001010000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232581627950.

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

Adding to 10001010000001 its reverse (10000001010001), we get a palindrome (20001011010002).

The spelling of 10001010000001 in words is "ten trillion, one billion, ten million, one", and thus it is an aban number and an uban number.