101101100101 has 4 divisors (see below), whose sum is σ = 101101758604. Its totient is φ = 101100441600.

The previous prime is 101101100083. The next prime is 101101100153. The reversal of 101101100101 is 101001101101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 80573661025 + 20527439076 = 283855^2 + 143274^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101100101 - 2¹¹ = 101101098053 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 (101101100201) 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, 36421 + ... + 451141.

It is an arithmetic number, because the mean of its divisors is an integer number (25275439651).

Almost surely, 2^101101100101 is an apocalyptic number.

It is an amenable number.

101101100101 is a deficient number, since it is larger than the sum of its proper divisors (658503).

101101100101 is an equidigital number, since it uses as much as digits as its factorization.

101101100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658502.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101101100101 its reverse (101001101101), we get a palindrome (202102201202).

The spelling of 101101100101 in words is "one hundred one billion, one hundred one million, one hundred thousand, one hundred one".