101000110111001 has 8 divisors (see below), whose sum is σ = 101354622456960. Its totient is φ = 100646028785808.

The previous prime is 101000110110983. The next prime is 101000110111039. The reversal of 101000110111001 is 100111011000101.

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-101000110111001 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 101000110111001.

It is not an unprimeable number, because it can be changed into a prime (101000110111081) 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 7 ways as a sum of consecutive naturals, for example, 107285711 + ... + 108223028.

It is an arithmetic number, because the mean of its divisors is an integer number (12669327807120).

Almost surely, 2^{101000110111001} is an apocalyptic number.

It is an amenable number.

101000110111001 is a deficient number, since it is larger than the sum of its proper divisors (354512345959).

101000110111001 is a wasteful number, since it uses less digits than its factorization.

101000110111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215510383.

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

Adding to 101000110111001 its reverse (100111011000101), we get a palindrome (201111121111102).

The spelling of 101000110111001 in words is "one hundred one trillion, one hundred ten million, one hundred eleven thousand, one".