1001001011001 has 16 divisors (see below), whose sum is σ = 1400477506560.
Its totient is φ = 634753446800.
The previous prime is 1001001010991. The next prime is 1001001011009. The reversal of 1001001011001 is 1001101001001.
Adding to 1001001011001 its reverse (1001101001001), we get a palindrome (2002102012002).
It is a cyclic number.
It is not a de Polignac number, because 1001001011001 - 227 = 1000866793273 is a prime.
It is not an unprimeable number, because it can be changed into a prime (1001001011009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40510725 + ... + 40535426.
It is an arithmetic number, because the mean of its divisors is an integer number (87529844160).
Almost surely, 21001001011001 is an apocalyptic number.
It is an amenable number.
1001001011001 is a deficient number, since it is larger than the sum of its proper divisors (399476495559).
1001001011001 is a wasteful number, since it uses less digits than its factorization.
1001001011001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 81046356.
The product of its (nonzero) digits is 1, while the sum is 6.
The spelling of 1001001011001 in words is "one trillion, one billion, one million, eleven thousand, one".