101101100110001 has 8 divisors (see below), whose sum is σ = 103253218041600. Its totient is φ = 98949025124128.

The previous prime is 101101100109979. The next prime is 101101100110051. The reversal of 101101100110001 is 100011001101101.

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 101101100110001 - 2²² = 101101095915697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101101100110051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5955581 + ... + 15416586.

It is an arithmetic number, because the mean of its divisors is an integer number (12906652255200).

Almost surely, 2^{101101100110001} is an apocalyptic number.

It is an amenable number.

101101100110001 is a deficient number, since it is larger than the sum of its proper divisors (2152117931599).

101101100110001 is a wasteful number, since it uses less digits than its factorization.

101101100110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21472863.

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

Adding to 101101100110001 its reverse (100011001101101), we get a palindrome (201112101211102).

The spelling of 101101100110001 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred ten thousand, one".