100100101100001 has 64 divisors (see below), whose sum is σ = 138261564528384. Its totient is φ = 64377815040000.

The previous prime is 100100101099993. The next prime is 100100101100003. The reversal of 100100101100001 is 100001101001001.

It is not a de Polignac number, because 100100101100001 - 2³ = 100100101099993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100100101100003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10110095151 + ... + 10110105051.

It is an arithmetic number, because the mean of its divisors is an integer number (2160336945756).

Almost surely, 2^{100100101100001} is an apocalyptic number.

It is an amenable number.

100100101100001 is a deficient number, since it is larger than the sum of its proper divisors (38161463428383).

100100101100001 is a wasteful number, since it uses less digits than its factorization.

100100101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11874.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100100101100001 its reverse (100001101001001), we get a palindrome (200101202101002).

The spelling of 100100101100001 in words is "one hundred trillion, one hundred billion, one hundred one million, one hundred thousand, one".