10101010101011 has 2 divisors, whose sum is σ = 10101010101012. Its totient is φ = 10101010101010.

The previous prime is 10101010100981. The next prime is 10101010101019. The reversal of 10101010101011 is 11010101010101.

It is an a-pointer prime, because the next prime (10101010101019) can be obtained adding 10101010101011 to its sum of digits (8).

It is a strong prime.

It is an emirp because it is prime and its reverse (11010101010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101010101011 - 2¹⁸ = 10101009838867 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101010101011.

It is not a weakly prime, because it can be changed into another prime (10101010101019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050505050505 + 5050505050506.

It is an arithmetic number, because the mean of its divisors is an integer number (5050505050506).

Almost surely, 2^{10101010101011} is an apocalyptic number.

10101010101011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101010101011 is an equidigital number, since it uses as much as digits as its factorization.

10101010101011 is an evil number, because the sum of its binary digits is even.

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

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

The spelling of 10101010101011 in words is "ten trillion, one hundred one billion, ten million, one hundred one thousand, eleven".