10001010001 has 16 divisors (see below), whose sum is σ = 10314160848. Its totient is φ = 9694080000.

The previous prime is 10001009987. The next prime is 10001010007.

10001010001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 3787787025 + 6213222976 = 61545^2 + 78824^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001010001 - 2⁹ = 10001009489 is a prime.

10001010001 is a strobogrammatic number because it is the same when read upside-down.

It is a deceptive number, since it divides R_10001010000.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001010007) 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, 1005151 + ... + 1015051.

It is an arithmetic number, because the mean of its divisors is an integer number (644635053).

Almost surely, 2^10001010001 is an apocalyptic number.

It is an amenable number.

10001010001 is a deficient number, since it is larger than the sum of its proper divisors (313150847).

10001010001 is a wasteful number, since it uses less digits than its factorization.

10001010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10212.

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

It can be divided in two parts, 100010 and 10001, that added together give a palindrome (110011).

The spelling of 10001010001 in words is "ten billion, one million, ten thousand, one".