11010101010101 has 2 divisors, whose sum is σ = 11010101010102. Its totient is φ = 11010101010100.

The previous prime is 11010101010079. The next prime is 11010101010113. The reversal of 11010101010101 is 10101010101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10959476460100 + 50624550001 = 3310510^2 + 224999^2 .

It is an emirp because it is prime and its reverse (10101010101011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11010101010101 - 2³⁴ = 10992921140917 is a prime.

11010101010101 is a modest number, since divided by 1010101 gives 110101 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11010101012101) 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 as a sum of consecutive naturals, namely, 5505050505050 + 5505050505051.

It is an arithmetic number, because the mean of its divisors is an integer number (5505050505051).

Almost surely, 2^{11010101010101} is an apocalyptic number.

It is an amenable number.

11010101010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11010101010101 is an equidigital number, since it uses as much as digits as its factorization.

11010101010101 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 11010101010101 its reverse (10101010101011), we get a palindrome (21111111111112).

It can be divided in two parts, 1101010101010 and 1, that added together give a palindrome (1101010101011).

The spelling of 11010101010101 in words is "eleven trillion, ten billion, one hundred one million, ten thousand, one hundred one".