101101111001 has 8 divisors (see below), whose sum is σ = 110304362208. Its totient is φ = 91899900000.

The previous prime is 101101110989. The next prime is 101101111031. The reversal of 101101111001 is 100111101101.

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 101101111001 - 2⁶ = 101101110937 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 101101111001.

It is not an unprimeable number, because it can be changed into a prime (101101111031) 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, 405500 + ... + 605501.

It is an arithmetic number, because the mean of its divisors is an integer number (13788045276).

Almost surely, 2^101101111001 is an apocalyptic number.

101101111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101111001 is a deficient number, since it is larger than the sum of its proper divisors (9203251207).

101101111001 is a wasteful number, since it uses less digits than its factorization.

101101111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020103.

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

Adding to 101101111001 its reverse (100111101101), we get a palindrome (201212212102).

It can be divided in two parts, 10 and 1101111001, that added together give a palindrome (1101111011).

The spelling of 101101111001 in words is "one hundred one billion, one hundred one million, one hundred eleven thousand, one".