100100001100001 has 16 divisors (see below), whose sum is σ = 115988866252800. Its totient is φ = 84610991516688.

The previous prime is 100100001099971. The next prime is 100100001100039. The reversal of 100100001100001 is 100001100001001.

It is not a de Polignac number, because 100100001100001 - 2²⁶ = 100099933991137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100001100901) 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, 109516121 + ... + 110426358.

It is an arithmetic number, because the mean of its divisors is an integer number (7249304140800).

Almost surely, 2^{100100001100001} is an apocalyptic number.

It is an amenable number.

100100001100001 is a deficient number, since it is larger than the sum of its proper divisors (15888865152799).

100100001100001 is an equidigital number, since it uses as much as digits as its factorization.

100100001100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219943388.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100100001100001 its reverse (100001100001001), we get a palindrome (200101101101002).

The spelling of 100100001100001 in words is "one hundred trillion, one hundred billion, one million, one hundred thousand, one".