101101100100101 has 8 divisors (see below), whose sum is σ = 103664774200824. Its totient is φ = 98561726228160.

The previous prime is 101101100100061. The next prime is 101101100100107. The reversal of 101101100100101 is 101001001101101.

It can be written as a sum of positive squares in 4 ways, for example, as 4599849615076 + 96501250485025 = 2144726^2 + 9823505^2 .

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 101101100100101 - 2²⁶ = 101101032991237 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 (101101100100107) 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, 6075048770 + ... + 6075065411.

It is an arithmetic number, because the mean of its divisors is an integer number (12958096775103).

Almost surely, 2^{101101100100101} is an apocalyptic number.

It is an amenable number.

101101100100101 is a deficient number, since it is larger than the sum of its proper divisors (2563674100723).

101101100100101 is a wasteful number, since it uses less digits than its factorization.

101101100100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12150114391.

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

Adding to 101101100100101 its reverse (101001001101101), we get a palindrome (202102101201202).

The spelling of 101101100100101 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred thousand, one hundred one".