1001100110001 has 64 divisors (see below), whose sum is σ = 1397942084352. Its totient is φ = 636755116032.

The previous prime is 1001100109991. The next prime is 1001100110069. The reversal of 1001100110001 is 1000110011001.

1001100110001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001100110001 - 2¹⁵ = 1001100077233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001100110081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 868256241 + ... + 868257393.

It is an arithmetic number, because the mean of its divisors is an integer number (21842845068).

Almost surely, 2^{1001100110001} is an apocalyptic number.

It is an amenable number.

1001100110001 is a deficient number, since it is larger than the sum of its proper divisors (396841974351).

1001100110001 is a wasteful number, since it uses less digits than its factorization.

1001100110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082.

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

Adding to 1001100110001 its reverse (1000110011001), we get a palindrome (2001210121002).

It can be divided in two parts, 100110011000 and 1, that added together give a palindrome (100110011001).

The spelling of 1001100110001 in words is "one trillion, one billion, one hundred million, one hundred ten thousand, one".