101001111011001 has 12 divisors (see below), whose sum is σ = 145890931396912. Its totient is φ = 67333871985336.

The previous prime is 101001111010967. The next prime is 101001111011023. The reversal of 101001111011001 is 100110111100101.

It is not a de Polignac number, because 101001111011001 - 2²⁷ = 101000976793273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101001111011051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13636831 + ... + 19696836.

Almost surely, 2^{101001111011001} is an apocalyptic number.

It is an amenable number.

101001111011001 is a deficient number, since it is larger than the sum of its proper divisors (44889820385911).

101001111011001 is a wasteful number, since it uses less digits than its factorization.

101001111011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33670340 (or 33670337 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101001111011001 its reverse (100110111100101), we get a palindrome (201111222111102).

The spelling of 101001111011001 in words is "one hundred one trillion, one billion, one hundred eleven million, eleven thousand, one".