100001010001 has 8 divisors (see below), whose sum is σ = 105894094824. Its totient is φ = 94109111040.

The previous prime is 100001009993. The next prime is 100001010013. The reversal of 100001010001 is 100010100001.

It can be written as a sum of positive squares in 4 ways, for example, as 21623408401 + 78377601600 = 147049^2 + 279960^2 .

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 100001010001 - 2³ = 100001009993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001010071) 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, 119830 + ... + 462991.

It is an arithmetic number, because the mean of its divisors is an integer number (13236761853).

Almost surely, 2^100001010001 is an apocalyptic number.

It is an amenable number.

100001010001 is a deficient number, since it is larger than the sum of its proper divisors (5893084823).

100001010001 is a wasteful number, since it uses less digits than its factorization.

100001010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592931.

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

Adding to 100001010001 its reverse (100010100001), we get a palindrome (200011110002).

The spelling of 100001010001 in words is "one hundred billion, one million, ten thousand, one".