101101000101 has 16 divisors (see below), whose sum is σ = 144144007488. Its totient is φ = 62807840000.

The previous prime is 101101000003. The next prime is 101101000127. The reversal of 101101000101 is 101000101101.

It is a cyclic number.

It is not a de Polignac number, because 101101000101 - 2⁹ = 101100999589 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101101000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101000171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9808575 + ... + 9818876.

It is an arithmetic number, because the mean of its divisors is an integer number (9009000468).

Almost surely, 2^101101000101 is an apocalyptic number.

It is an amenable number.

101101000101 is a deficient number, since it is larger than the sum of its proper divisors (43043007387).

101101000101 is a wasteful number, since it uses less digits than its factorization.

101101000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19627572.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101101000101 its reverse (101000101101), we get a palindrome (202101101202).

It can be divided in two parts, 101101000 and 101, that added together give a palindrome (101101101).

The spelling of 101101000101 in words is "one hundred one billion, one hundred one million, one hundred one", and thus it is an aban number.