10101001101001 has 4 divisors (see below), whose sum is σ = 10695177636372. Its totient is φ = 9506824565632.

The previous prime is 10101001100909. The next prime is 10101001101017. The reversal of 10101001101001 is 10010110010101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5146437067776 + 4954564033225 = 2268576^2 + 2225885^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101001101001 - 2³⁷ = 9963562147529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101001101901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 297088267660 + ... + 297088267693.

It is an arithmetic number, because the mean of its divisors is an integer number (2673794409093).

Almost surely, 2^{10101001101001} is an apocalyptic number.

It is an amenable number.

10101001101001 is a deficient number, since it is larger than the sum of its proper divisors (594176535371).

10101001101001 is an equidigital number, since it uses as much as digits as its factorization.

10101001101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594176535370.

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

Adding to 10101001101001 its reverse (10010110010101), we get a palindrome (20111111111102).

The spelling of 10101001101001 in words is "ten trillion, one hundred one billion, one million, one hundred one thousand, one".