10000100000001 has 64 divisors (see below), whose sum is σ = 14194106438400. Its totient is φ = 6254978236416.

The previous prime is 10000099999997. The next prime is 10000100000003. The reversal of 10000100000001 is 10000000100001.

It is not a de Polignac number, because 10000100000001 - 2² = 10000099999997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is not an unprimeable number, because it can be changed into a prime (10000100000003) 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 63 ways as a sum of consecutive naturals, for example, 71713935 + ... + 71853243.

It is an arithmetic number, because the mean of its divisors is an integer number (221782913100).

Almost surely, 2^{10000100000001} is an apocalyptic number.

It is an amenable number.

10000100000001 is a deficient number, since it is larger than the sum of its proper divisors (4194006438399).

10000100000001 is a wasteful number, since it uses less digits than its factorization.

10000100000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139618.

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 10000100000001 its reverse (10000000100001), we get a palindrome (20000100100002).

It can be divided in two parts, 10000 and 100000001, that added together give a palindrome (100010001).

The spelling of 10000100000001 in words is "ten trillion, one hundred million, one", and thus it is an aban number.