101100111010001 has 8 divisors (see below), whose sum is σ = 101142242259240. Its totient is φ = 101057983026048.

The previous prime is 101100111009991. The next prime is 101100111010013. The reversal of 101100111010001 is 100010111001101.

It can be written as a sum of positive squares in 4 ways, for example, as 10890006600001 + 90210104410000 = 3300001^2 + 9497900^2 .

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 101100111010001 - 2²⁶ = 101100043901137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100111019001) 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, 62130365 + ... + 63736821.

It is an arithmetic number, because the mean of its divisors is an integer number (12642780282405).

Almost surely, 2^{101100111010001} is an apocalyptic number.

It is an amenable number.

101100111010001 is a deficient number, since it is larger than the sum of its proper divisors (42131249239).

101100111010001 is a wasteful number, since it uses less digits than its factorization.

101100111010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632643.

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

Adding to 101100111010001 its reverse (100010111001101), we get a palindrome (201110222011102).

The spelling of 101100111010001 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, ten thousand, one".