111111111000101 has 2 divisors, whose sum is σ = 111111111000102. Its totient is φ = 111111111000100.

The previous prime is 111111111000061. The next prime is 111111111000103. The reversal of 111111111000101 is 101000111111111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94070116050625 + 17040994949476 = 9698975^2 + 4128074^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111111111000101 is a prime.

Together with 111111111000103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111111111000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555555500050 + 55555555500051.

It is an arithmetic number, because the mean of its divisors is an integer number (55555555500051).

Almost surely, 2^{111111111000101} is an apocalyptic number.

It is an amenable number.

111111111000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111111000101 is an equidigital number, since it uses as much as digits as its factorization.

111111111000101 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 11.

Adding to 111111111000101 its reverse (101000111111111), we get a palindrome (212111222111212).

The spelling of 111111111000101 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred eleven million, one hundred one", and thus it is an aban number.