110101103677057 has 2 divisors, whose sum is σ = 110101103677058. Its totient is φ = 110101103677056.

The previous prime is 110101103677003. The next prime is 110101103677069. The reversal of 110101103677057 is 750776301101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92728888013056 + 17372215664001 = 9629584^2 + 4167999^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101103677057 - 2¹⁵ = 110101103644289 is a prime.

It is a super-2 number, since 2×110101103677057² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (110101113677057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050551838528 + 55050551838529.

It is an arithmetic number, because the mean of its divisors is an integer number (55050551838529).

Almost surely, 2^{110101103677057} is an apocalyptic number.

It is an amenable number.

110101103677057 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101103677057 is an equidigital number, since it uses as much as digits as its factorization.

110101103677057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30870, while the sum is 40.

Adding to 110101103677057 its reverse (750776301101011), we get a palindrome (860877404778068).

The spelling of 110101103677057 in words is "one hundred ten trillion, one hundred one billion, one hundred three million, six hundred seventy-seven thousand, fifty-seven".