10100000011 has 2 divisors, whose sum is σ = 10100000012. Its totient is φ = 10100000010.

The previous prime is 10099999951. The next prime is 10100000017. The reversal of 10100000011 is 11000000101.

It is a strong prime.

It is an emirp because it is prime and its reverse (11000000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100000011 - 2⁷ = 10099999883 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100000017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000005 + 5050000006.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000006).

Almost surely, 2^10100000011 is an apocalyptic number.

10100000011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100000011 is an equidigital number, since it uses as much as digits as its factorization.

10100000011 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 4.

Adding to 10100000011 its reverse (11000000101), we get a palindrome (21100000112).

The spelling of 10100000011 in words is "ten billion, one hundred million, eleven", and thus it is an aban number.