101001101100101 has 4 divisors (see below), whose sum is σ = 101001136637772. Its totient is φ = 101001065562432.

The previous prime is 101001101100017. The next prime is 101001101100103.

101001101100101 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 29410295611876 + 71590805488225 = 5423126^2 + 8461135^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001101100101 - 2³⁰ = 101000027358277 is a prime.

101001101100101 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001101100103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13096106 + ... + 19326411.

It is an arithmetic number, because the mean of its divisors is an integer number (25250284159443).

Almost surely, 2^{101001101100101} is an apocalyptic number.

It is an amenable number.

101001101100101 is a deficient number, since it is larger than the sum of its proper divisors (35537671).

101001101100101 is an equidigital number, since it uses as much as digits as its factorization.

101001101100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35537670.

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

It can be divided in two parts, 10100110 and 1100101, that added together give a palindrome (11200211).

The spelling of 101001101100101 in words is "one hundred one trillion, one billion, one hundred one million, one hundred thousand, one hundred one".