101100111000101 has 8 divisors (see below), whose sum is σ = 102065019984120. Its totient is φ = 100139264791488.

The previous prime is 101100111000029. The next prime is 101100111000191. The reversal of 101100111000101 is 101000111001101.

It can be written as a sum of positive squares in 4 ways, for example, as 1598388747076 + 99501722253025 = 1264274^2 + 9975055^2 .

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 101100111000101 - 2¹⁰ = 101100110999077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100111000191) 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, 1015643846 + ... + 1015743383.

It is an arithmetic number, because the mean of its divisors is an integer number (12758127498015).

Almost surely, 2^{101100111000101} is an apocalyptic number.

It is an amenable number.

101100111000101 is a deficient number, since it is larger than the sum of its proper divisors (964908984019).

101100111000101 is a wasteful number, since it uses less digits than its factorization.

101100111000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031387703.

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

Adding to 101100111000101 its reverse (101000111001101), we get a palindrome (202100222001202).

The spelling of 101100111000101 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, one hundred one", and thus it is an aban number.