101101010101001 has 8 divisors (see below), whose sum is σ = 101212789953024. Its totient is φ = 100989232009120.

The previous prime is 101101010100971. The next prime is 101101010101051. The reversal of 101101010101001 is 100101010101101.

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 101101010101001 - 2³⁸ = 100826132194057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101101010101001.

It is not an unprimeable number, because it can be changed into a prime (101101010101051) 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, 138822125 + ... + 139548501.

It is an arithmetic number, because the mean of its divisors is an integer number (12651598744128).

Almost surely, 2^{101101010101001} is an apocalyptic number.

It is an amenable number.

101101010101001 is a deficient number, since it is larger than the sum of its proper divisors (111779852023).

101101010101001 is an equidigital number, since it uses as much as digits as its factorization.

101101010101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880071.

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

Adding to 101101010101001 its reverse (100101010101101), we get a palindrome (201202020202102).

It can be divided in two parts, 10 and 1101010101001, that added together give a palindrome (1101010101011).

The spelling of 101101010101001 in words is "one hundred one trillion, one hundred one billion, ten million, one hundred one thousand, one".