1001001101101 has 8 divisors (see below), whose sum is σ = 1054177099520. Its totient is φ = 947874275712.

The previous prime is 1001001101071. The next prime is 1001001101147. The reversal of 1001001101101 is 1011011001001.

It is a happy number.

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 1001001101101 - 2¹¹ = 1001001099053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001001101201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12251460 + ... + 12332893.

It is an arithmetic number, because the mean of its divisors is an integer number (131772137440).

Almost surely, 2^{1001001101101} is an apocalyptic number.

It is an amenable number.

1001001101101 is a deficient number, since it is larger than the sum of its proper divisors (53175998419).

1001001101101 is a wasteful number, since it uses less digits than its factorization.

1001001101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24586515.

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

Adding to 1001001101101 its reverse (1011011001001), we get a palindrome (2012012102102).

It can be divided in two parts, 1001001 and 101101, that multiplied together give a palindrome (101202202101).

The spelling of 1001001101101 in words is "one trillion, one billion, one million, one hundred one thousand, one hundred one".