101101010101 has 24 divisors (see below), whose sum is σ = 125283404544. Its totient is φ = 79884792000.

The previous prime is 101101010077. The next prime is 101101010111. The reversal of 101101010101 is 101010101101.

It is a happy number.

It is not a de Polignac number, because 101101010101 - 2²¹ = 101098912949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

101101010101 is a modest number, since divided by 1010101 gives 1011 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101010111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 831535 + ... + 945331.

It is an arithmetic number, because the mean of its divisors is an integer number (5220141856).

Almost surely, 2^101101010101 is an apocalyptic number.

It is an amenable number.

101101010101 is a deficient number, since it is larger than the sum of its proper divisors (24182394443).

101101010101 is a wasteful number, since it uses less digits than its factorization.

101101010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114581 (or 114568 counting only the distinct ones).

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

Adding to 101101010101 its reverse (101010101101), we get a palindrome (202111111202).

It can be divided in two parts, 101 and 101010101, that multiplied together give a palindrome (10202020201).

The spelling of 101101010101 in words is "one hundred one billion, one hundred one million, ten thousand, one hundred one".