1001011101001 has 8 divisors (see below), whose sum is σ = 1001917434560. Its totient is φ = 1000105069392.

The previous prime is 1001011100909. The next prime is 1001011101011.

It is a happy number.

1001011101001 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 1001011101001 - 2¹¹ = 1001011098953 is a prime.

1001011101001 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001011101011) 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 7 ways as a sum of consecutive naturals, for example, 6842446 + ... + 6987208.

It is an arithmetic number, because the mean of its divisors is an integer number (125239679320).

Almost surely, 2^{1001011101001} is an apocalyptic number.

It is an amenable number.

1001011101001 is a deficient number, since it is larger than the sum of its proper divisors (906333559).

1001011101001 is a wasteful number, since it uses less digits than its factorization.

1001011101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150975.

The product of its (nonzero) digits is 1, while the sum is 7.

The spelling of 1001011101001 in words is "one trillion, one billion, eleven million, one hundred one thousand, one".