100001100001001 has 16 divisors (see below), whose sum is σ = 104463405938304. Its totient is φ = 95548336101504.

The previous prime is 100001100000947. The next prime is 100001100001063. The reversal of 100001100001001 is 100100001100001.

It is a cyclic number.

It is not a de Polignac number, because 100001100001001 - 2¹⁸ = 100001099738857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001100001301) 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, 1460326175 + ... + 1460394651.

It is an arithmetic number, because the mean of its divisors is an integer number (6528962871144).

Almost surely, 2^{100001100001001} is an apocalyptic number.

It is an amenable number.

100001100001001 is a deficient number, since it is larger than the sum of its proper divisors (4462305937303).

100001100001001 is an equidigital number, since it uses as much as digits as its factorization.

100001100001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137200.

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

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

The spelling of 100001100001001 in words is "one hundred trillion, one billion, one hundred million, one thousand, one".