101010110101001 has 2 divisors, whose sum is σ = 101010110101002. Its totient is φ = 101010110101000.

The previous prime is 101010110100983. The next prime is 101010110101003. The reversal of 101010110101001 is 100101011010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83531355923401 + 17478754177600 = 9139549^2 + 4180760^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010110101001 - 2¹⁸ = 101010109838857 is a prime.

Together with 101010110101003, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101010110101001.

It is not a weakly prime, because it can be changed into another prime (101010110101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505055050500 + 50505055050501.

It is an arithmetic number, because the mean of its divisors is an integer number (50505055050501).

Almost surely, 2^{101010110101001} is an apocalyptic number.

It is an amenable number.

101010110101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010110101001 is an equidigital number, since it uses as much as digits as its factorization.

101010110101001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101010110101001 its reverse (100101011010101), we get a palindrome (201111121111102).

It can be divided in two parts, 10101011010100 and 1, that added together give a palindrome (10101011010101).

The spelling of 101010110101001 in words is "one hundred one trillion, ten billion, one hundred ten million, one hundred one thousand, one".