101110110101101 has 2 divisors, whose sum is σ = 101110110101102. Its totient is φ = 101110110101100.

The previous prime is 101110110101089. The next prime is 101110110101111. The reversal of 101110110101101 is 101101011011101.

It is a happy number.

It is an a-pointer prime, because the next prime (101110110101111) can be obtained adding 101110110101101 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92712807305001 + 8397302796100 = 9628749^2 + 2897810^2 .

It is an emirp because it is prime and its reverse (101101011011101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101110110101101 - 2⁷ = 101110110100973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110110101111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555055050550 + 50555055050551.

It is an arithmetic number, because the mean of its divisors is an integer number (50555055050551).

Almost surely, 2^{101110110101101} is an apocalyptic number.

It is an amenable number.

101110110101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110110101101 is an equidigital number, since it uses as much as digits as its factorization.

101110110101101 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 10.

Adding to 101110110101101 its reverse (101101011011101), we get a palindrome (202211121112202).

The spelling of 101110110101101 in words is "one hundred one trillion, one hundred ten billion, one hundred ten million, one hundred one thousand, one hundred one".