110000001101101 has 2 divisors, whose sum is σ = 110000001101102. Its totient is φ = 110000001101100.

The previous prime is 110000001100967. The next prime is 110000001101119. The reversal of 110000001101101 is 101101100000011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109964039667876 + 35961433225 = 10486374^2 + 189635^2 .

It is a cyclic number.

It is not a de Polignac number, because 110000001101101 - 2⁹ = 110000001100589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110000001101191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000000550550 + 55000000550551.

It is an arithmetic number, because the mean of its divisors is an integer number (55000000550551).

Almost surely, 2^{110000001101101} is an apocalyptic number.

It is an amenable number.

110000001101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110000001101101 is an equidigital number, since it uses as much as digits as its factorization.

110000001101101 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 7.

Adding to 110000001101101 its reverse (101101100000011), we get a palindrome (211101101101112).

The spelling of 110000001101101 in words is "one hundred ten trillion, one million, one hundred one thousand, one hundred one".