1001101111001 has 8 divisors (see below), whose sum is σ = 1001403881280. Its totient is φ = 1000798401232.

The previous prime is 1001101110967. The next prime is 1001101111039. The reversal of 1001101111001 is 1001111011001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001101111001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001101111001.

It is not an unprimeable number, because it can be changed into a prime (1001101161001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87175406 + ... + 87186888.

It is an arithmetic number, because the mean of its divisors is an integer number (125175485160).

Almost surely, 2^{1001101111001} is an apocalyptic number.

It is an amenable number.

1001101111001 is a deficient number, since it is larger than the sum of its proper divisors (302770279).

1001101111001 is a wasteful number, since it uses less digits than its factorization.

1001101111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30255.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1001101111001 its reverse (1001111011001), we get a palindrome (2002212122002).

The spelling of 1001101111001 in words is "one trillion, one billion, one hundred one million, one hundred eleven thousand, one".