1001101100001 has 24 divisors (see below), whose sum is σ = 1454195337984. Its totient is φ = 611878410720.

The previous prime is 1001101099991. The next prime is 1001101100011. The reversal of 1001101100001 is 1000011011001.

It is an interprime number because it is at equal distance from previous prime (1001101099991) and next prime (1001101100011).

It is not a de Polignac number, because 1001101100001 - 2⁵ = 1001101099969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001101100011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14875746 + ... + 14942891.

It is an arithmetic number, because the mean of its divisors is an integer number (60591472416).

Almost surely, 2^{1001101100001} is an apocalyptic number.

It is an amenable number.

1001101100001 is a deficient number, since it is larger than the sum of its proper divisors (453094237983).

1001101100001 is a wasteful number, since it uses less digits than its factorization.

1001101100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29818709 (or 29818690 counting only the distinct ones).

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

Adding to 1001101100001 its reverse (1000011011001), we get a palindrome (2001112111002).

The spelling of 1001101100001 in words is "one trillion, one billion, one hundred one million, one hundred thousand, one".