101010100101011 has 2 divisors, whose sum is σ = 101010100101012. Its totient is φ = 101010100101010.

The previous prime is 101010100100989. The next prime is 101010100101041. The reversal of 101010100101011 is 110101001010101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101010100101011 - 2³⁰ = 101009026359187 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101010100101011.

It is not a weakly prime, because it can be changed into another prime (101010100101041) 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, 50505050050505 + 50505050050506.

It is an arithmetic number, because the mean of its divisors is an integer number (50505050050506).

Almost surely, 2^{101010100101011} is an apocalyptic number.

101010100101011 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010100101011 is an equidigital number, since it uses as much as digits as its factorization.

101010100101011 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 101010100101011 its reverse (110101001010101), we get a palindrome (211111101111112).

The spelling of 101010100101011 in words is "one hundred one trillion, ten billion, one hundred million, one hundred one thousand, eleven".