101100110101001 has 8 divisors (see below), whose sum is σ = 111159462503424. Its totient is φ = 91185496582320.

The previous prime is 101100110100961. The next prime is 101100110101009. The reversal of 101100110101001 is 100101011001101.

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-101100110101001 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 101100110101001.

It is not an unprimeable number, because it can be changed into a prime (101100110101009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36184719470 + ... + 36184722263.

It is an arithmetic number, because the mean of its divisors is an integer number (13894932812928).

Almost surely, 2^{101100110101001} is an apocalyptic number.

101100110101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101100110101001 is a deficient number, since it is larger than the sum of its proper divisors (10059352402423).

101100110101001 is a wasteful number, since it uses less digits than its factorization.

101100110101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72369441871.

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

Adding to 101100110101001 its reverse (100101011001101), we get a palindrome (201201121102102).

The spelling of 101100110101001 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one hundred one thousand, one".