101101101010101 has 12 divisors (see below), whose sum is σ = 153720972296320. Its totient is φ = 63853326953640.

The previous prime is 101101101010099. The next prime is 101101101010153. The reversal of 101101101010101 is 101010101101101.

It is not a de Polignac number, because 101101101010101 - 2¹ = 101101101010099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101101010181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295617254245 + ... + 295617254586.

Almost surely, 2^{101101101010101} is an apocalyptic number.

It is an amenable number.

101101101010101 is a deficient number, since it is larger than the sum of its proper divisors (52619871286219).

101101101010101 is a wasteful number, since it uses less digits than its factorization.

101101101010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591234508856 (or 591234508853 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101101101010101 its reverse (101010101101101), we get a palindrome (202111202111202).

It can be divided in two parts, 101101 and 101010101, that multiplied together give a palindrome (10212222221201).

The spelling of 101101101010101 in words is "one hundred one trillion, one hundred one billion, one hundred one million, ten thousand, one hundred one".