110101110111101 has 2 divisors, whose sum is σ = 110101110111102. Its totient is φ = 110101110111100.

The previous prime is 110101110111071. The next prime is 110101110111121. The reversal of 110101110111101 is 101111011101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85179498567076 + 24921611544025 = 9229274^2 + 4992155^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101110111101 - 2⁴² = 105703063599997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110101110111121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050555055550 + 55050555055551.

It is an arithmetic number, because the mean of its divisors is an integer number (55050555055551).

Almost surely, 2^{110101110111101} is an apocalyptic number.

It is an amenable number.

110101110111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101110111101 is an equidigital number, since it uses as much as digits as its factorization.

110101110111101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 110101110111101 its reverse (101111011101011), we get a palindrome (211212121212112).

It can be divided in two parts, 1101011 and 10111101, that multiplied together give a palindrome (11132433423111).

The spelling of 110101110111101 in words is "one hundred ten trillion, one hundred one billion, one hundred ten million, one hundred eleven thousand, one hundred one".