111102100101101 has 2 divisors, whose sum is σ = 111102100101102. Its totient is φ = 111102100101100.

The previous prime is 111102100101077. The next prime is 111102100101163. The reversal of 111102100101101 is 101101001201111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108126181843876 + 2975918257225 = 10398374^2 + 1725085^2 .

It is a cyclic number.

It is not a de Polignac number, because 111102100101101 - 2¹⁰ = 111102100100077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111102100101301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55551050050550 + 55551050050551.

It is an arithmetic number, because the mean of its divisors is an integer number (55551050050551).

Almost surely, 2^{111102100101101} is an apocalyptic number.

It is an amenable number.

111102100101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111102100101101 is an equidigital number, since it uses as much as digits as its factorization.

111102100101101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 111102100101101 its reverse (101101001201111), we get a palindrome (212203101302212).

The spelling of 111102100101101 in words is "one hundred eleven trillion, one hundred two billion, one hundred million, one hundred one thousand, one hundred one".