101001100101101 has 16 divisors (see below), whose sum is σ = 101984188063296. Its totient is φ = 100022474906496.

The previous prime is 101001100101037. The next prime is 101001100101113. The reversal of 101001100101101 is 101101001100101.

It is a cyclic number.

It is not a de Polignac number, because 101001100101101 - 2⁶ = 101001100101037 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 (101001100101151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2043167081 + ... + 2043216513.

It is an arithmetic number, because the mean of its divisors is an integer number (6374011753956).

Almost surely, 2^{101001100101101} is an apocalyptic number.

It is an amenable number.

101001100101101 is a deficient number, since it is larger than the sum of its proper divisors (983087962195).

101001100101101 is a wasteful number, since it uses less digits than its factorization.

101001100101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94172.

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

Adding to 101001100101101 its reverse (101101001100101), we get a palindrome (202102101201202).

It can be divided in two parts, 101001100101 and 101, that multiplied together give a palindrome (10201111110201).

The spelling of 101001100101101 in words is "one hundred one trillion, one billion, one hundred million, one hundred one thousand, one hundred one".