10000100010001 has 4 divisors (see below), whose sum is σ = 10091844046900. Its totient is φ = 9908355973104.

The previous prime is 10000100009989. The next prime is 10000100010023. The reversal of 10000100010001 is 10001000100001.

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 6039207950400 + 3960892059601 = 2457480^2 + 1990199^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000100010001 - 2¹⁹ = 10000099485713 is a prime.

It is a Duffinian number.

10000100010001 is a modest number, since divided by 100010001 gives 10 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10000100010601) 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, 45872018286 + ... + 45872018503.

It is an arithmetic number, because the mean of its divisors is an integer number (2522961011725).

Almost surely, 2^{10000100010001} is an apocalyptic number.

It is an amenable number.

10000100010001 is a deficient number, since it is larger than the sum of its proper divisors (91744036899).

10000100010001 is an equidigital number, since it uses as much as digits as its factorization.

10000100010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91744036898.

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

Adding to 10000100010001 its reverse (10001000100001), we get a palindrome (20001100110002).

It can be divided in two parts, 10000 and 100010001, that added together give a palindrome (100020001).

The spelling of 10000100010001 in words is "ten trillion, one hundred million, ten thousand, one".