111000000101 has 2 divisors, whose sum is σ = 111000000102. Its totient is φ = 111000000100.

The previous prime is 111000000091. The next prime is 111000000109. The reversal of 111000000101 is 101000000111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88500300100 + 22499700001 = 297490^2 + 149999^2 .

It is a cyclic number.

It is not a de Polignac number, because 111000000101 - 2¹⁸ = 110999737957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111000000109) 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, 55500000050 + 55500000051.

It is an arithmetic number, because the mean of its divisors is an integer number (55500000051).

Almost surely, 2^111000000101 is an apocalyptic number.

It is an amenable number.

111000000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111000000101 is an equidigital number, since it uses as much as digits as its factorization.

111000000101 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 5.

Adding to 111000000101 its reverse (101000000111), we get a palindrome (212000000212).

The spelling of 111000000101 in words is "one hundred eleven billion, one hundred one", and thus it is an aban number.