100000000100001 has 16 divisors (see below), whose sum is σ = 135852335796096. Its totient is φ = 65407226292096.

The previous prime is 100000000099997. The next prime is 100000000100023. The reversal of 100000000100001 is 100001000000001.

100000000100001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100000000100001 - 2² = 100000000099997 is a prime.

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

100000000100001 is a modest number, since divided by 100001 gives 10000 as remainder.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100000000100101) 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, 964300 + ... + 14174973.

It is an arithmetic number, because the mean of its divisors is an integer number (8490770987256).

Almost surely, 2^{100000000100001} is an apocalyptic number.

It is an amenable number.

100000000100001 is a deficient number, since it is larger than the sum of its proper divisors (35852335696095).

100000000100001 is a wasteful number, since it uses less digits than its factorization.

100000000100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15180872.

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

Adding to 100000000100001 its reverse (100001000000001), we get a palindrome (200001000100002).

The spelling of 100000000100001 in words is "one hundred trillion, one hundred thousand, one".