101111000011001 has 8 divisors (see below), whose sum is σ = 104624917705440. Its totient is φ = 97649923184352.

The previous prime is 101111000010941. The next prime is 101111000011081. The reversal of 101111000011001 is 100110000111101.

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 101111000011001 - 2¹⁴ = 101110999994617 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 101111000011001.

It is not an unprimeable number, because it can be changed into a prime (101111000011081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13210213055 + ... + 13210220708.

It is an arithmetic number, because the mean of its divisors is an integer number (13078114713180).

Almost surely, 2^{101111000011001} is an apocalyptic number.

It is an amenable number.

101111000011001 is a deficient number, since it is larger than the sum of its proper divisors (3513917694439).

101111000011001 is an equidigital number, since it uses as much as digits as its factorization.

101111000011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26420433895.

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

Adding to 101111000011001 its reverse (100110000111101), we get a palindrome (201221000122102).

The spelling of 101111000011001 in words is "one hundred one trillion, one hundred eleven billion, eleven thousand, one".