10101100011011 has 2 divisors, whose sum is σ = 10101100011012. Its totient is φ = 10101100011010.

The previous prime is 10101100011001. The next prime is 10101100011019. The reversal of 10101100011011 is 11011000110101.

It is an a-pointer prime, because the next prime (10101100011019) can be obtained adding 10101100011011 to its sum of digits (8).

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101100011011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101100011011.

It is not a weakly prime, because it can be changed into another prime (10101100011019) 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, 5050550005505 + 5050550005506.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550005506).

Almost surely, 2^{10101100011011} is an apocalyptic number.

10101100011011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101100011011 is an equidigital number, since it uses as much as digits as its factorization.

10101100011011 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 10101100011011 its reverse (11011000110101), we get a palindrome (21112100121112).

The spelling of 10101100011011 in words is "ten trillion, one hundred one billion, one hundred million, eleven thousand, eleven".