10000001010001 has 4 divisors (see below), whose sum is σ = 10000086444900. Its totient is φ = 9999915575104.

The previous prime is 10000001009981. The next prime is 10000001010011. The reversal of 10000001010001 is 10001010000001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2259369734400 + 7740631275601 = 1503120^2 + 2782199^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000001010001 - 2¹⁷ = 10000000878929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000001010011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42541636 + ... + 42776053.

It is an arithmetic number, because the mean of its divisors is an integer number (2500021611225).

Almost surely, 2^{10000001010001} is an apocalyptic number.

It is an amenable number.

10000001010001 is a deficient number, since it is larger than the sum of its proper divisors (85434899).

10000001010001 is an equidigital number, since it uses as much as digits as its factorization.

10000001010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85434898.

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

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

The spelling of 10000001010001 in words is "ten trillion, one million, ten thousand, one".