11000000101 has 2 divisors, whose sum is σ = 11000000102. Its totient is φ = 11000000100.

The previous prime is 11000000057. The next prime is 11000000107. The reversal of 11000000101 is 10100000011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9336583876 + 1663416225 = 96626^2 + 40785^2 .

It is an emirp because it is prime and its reverse (10100000011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11000000101 - 2¹⁷ = 10999869029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11000000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500000050 + 5500000051.

It is an arithmetic number, because the mean of its divisors is an integer number (5500000051).

Almost surely, 2^11000000101 is an apocalyptic number.

It is an amenable number.

11000000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000000101 is an equidigital number, since it uses as much as digits as its factorization.

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

It can be divided in two parts, 1100000010 and 1, that added together give a palindrome (1100000011).

The spelling of 11000000101 in words is "eleven billion, one hundred one", and thus it is an aban number.