1001100011001 has 16 divisors (see below), whose sum is σ = 1335586742400. Its totient is φ = 667006773120.

The previous prime is 1001100010919. The next prime is 1001100011011.

1001100011001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1001100011001 - 2²² = 1001095816697 is a prime.

1001100011001 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (1001100011011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39854436 + ... + 39879546.

It is an arithmetic number, because the mean of its divisors is an integer number (83474171400).

Almost surely, 2^{1001100011001} is an apocalyptic number.

It is an amenable number.

1001100011001 is a deficient number, since it is larger than the sum of its proper divisors (334486731399).

1001100011001 is a wasteful number, since it uses less digits than its factorization.

1001100011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32416.

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

It can be divided in two parts, 10011000 and 11001, that added together give a palindrome (10022001).

The spelling of 1001100011001 in words is "one trillion, one billion, one hundred million, eleven thousand, one".