100100110010001 has 16 divisors (see below), whose sum is σ = 139363000212096. Its totient is φ = 63789199988096.

The previous prime is 100100110009997. The next prime is 100100110010011. The reversal of 100100110010001 is 100010011001001.

It is a cyclic number.

It is not a de Polignac number, because 100100110010001 - 2² = 100100110009997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100100110010011) 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, 485739660 + ... + 485945693.

It is an arithmetic number, because the mean of its divisors is an integer number (8710187513256).

Almost surely, 2^{100100110010001} is an apocalyptic number.

It is an amenable number.

100100110010001 is a deficient number, since it is larger than the sum of its proper divisors (39262890202095).

100100110010001 is a wasteful number, since it uses less digits than its factorization.

100100110010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971686872.

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

Adding to 100100110010001 its reverse (100010011001001), we get a palindrome (200110121011002).

It can be divided in two parts, 10010011001000 and 1, that added together give a palindrome (10010011001001).

The spelling of 100100110010001 in words is "one hundred trillion, one hundred billion, one hundred ten million, ten thousand, one".