1001100116001 has 8 divisors (see below), whose sum is σ = 1334827083040. Its totient is φ = 667386613152.

The previous prime is 1001100115979. The next prime is 1001100116011. The reversal of 1001100116001 is 1006110011001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1001100116001 - 2⁹ = 1001100115489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001100116011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3191260 + ... + 3490893.

It is an arithmetic number, because the mean of its divisors is an integer number (166853385380).

Almost surely, 2^{1001100116001} is an apocalyptic number.

It is an amenable number.

1001100116001 is a deficient number, since it is larger than the sum of its proper divisors (333726967039).

1001100116001 is an equidigital number, since it uses as much as digits as its factorization.

1001100116001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6732095.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 1001100116001 its reverse (1006110011001), we get a palindrome (2007210127002).

The spelling of 1001100116001 in words is "one trillion, one billion, one hundred million, one hundred sixteen thousand, one".