101000111110001 has 8 divisors (see below), whose sum is σ = 109981972171200. Its totient is φ = 92384856622800.

The previous prime is 101000111109979. The next prime is 101000111110009. The reversal of 101000111110001 is 100011111000101.

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 101000111110001 - 2¹⁰ = 101000111108977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000111110009) 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, 91651642925 + ... + 91651644026.

It is an arithmetic number, because the mean of its divisors is an integer number (13747746521400).

Almost surely, 2^{101000111110001} is an apocalyptic number.

It is an amenable number.

101000111110001 is a deficient number, since it is larger than the sum of its proper divisors (8981861061199).

101000111110001 is a wasteful number, since it uses less digits than its factorization.

101000111110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183303286999.

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

Adding to 101000111110001 its reverse (100011111000101), we get a palindrome (201011222110102).

The spelling of 101000111110001 in words is "one hundred one trillion, one hundred eleven million, one hundred ten thousand, one".