10101010101001 has 8 divisors (see below), whose sum is σ = 10633633999520. Its totient is φ = 9568485381312.

The previous prime is 10101010100981. The next prime is 10101010101011. The reversal of 10101010101001 is 10010101010101.

It is a happy number.

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 10101010101001 - 2⁷ = 10101010100873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101010101011) 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 7 ways as a sum of consecutive naturals, for example, 24585600 + ... + 24993073.

It is an arithmetic number, because the mean of its divisors is an integer number (1329204249940).

Almost surely, 2^{10101010101001} is an apocalyptic number.

It is an amenable number.

10101010101001 is a deficient number, since it is larger than the sum of its proper divisors (532623898519).

10101010101001 is a wasteful number, since it uses less digits than its factorization.

10101010101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49589415.

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

Adding to 10101010101001 its reverse (10010101010101), we get a palindrome (20111111111102).

It can be divided in two parts, 1010101010100 and 1, that added together give a palindrome (1010101010101).

The spelling of 10101010101001 in words is "ten trillion, one hundred one billion, ten million, one hundred one thousand, one".