101000110110101 has 8 divisors (see below), whose sum is σ = 107501195119104. Its totient is φ = 94561236441280.

The previous prime is 101000110110079. The next prime is 101000110110149. The reversal of 101000110110101 is 101011011000101.

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 101000110110101 - 2¹⁰ = 101000110109077 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 (101000110110161) 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, 15552831695 + ... + 15552838188.

It is an arithmetic number, because the mean of its divisors is an integer number (13437649389888).

Almost surely, 2^{101000110110101} is an apocalyptic number.

It is an amenable number.

101000110110101 is a deficient number, since it is larger than the sum of its proper divisors (6501085009003).

101000110110101 is a wasteful number, since it uses less digits than its factorization.

101000110110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31105670091.

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

Adding to 101000110110101 its reverse (101011011000101), we get a palindrome (202011121110202).

The spelling of 101000110110101 in words is "one hundred one trillion, one hundred ten million, one hundred ten thousand, one hundred one".