110010999983617 has 2 divisors, whose sum is σ = 110010999983618. Its totient is φ = 110010999983616.

The previous prime is 110010999983603. The next prime is 110010999983657. The reversal of 110010999983617 is 716389999010011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104972339851201 + 5038660132416 = 10245601^2 + 2244696^2 .

It is an emirp because it is prime and its reverse (716389999010011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110010999983617 - 2³⁵ = 109976640245249 is a prime.

It is not a weakly prime, because it can be changed into another prime (110010999983657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005499991808 + 55005499991809.

It is an arithmetic number, because the mean of its divisors is an integer number (55005499991809).

Almost surely, 2^{110010999983617} is an apocalyptic number.

It is an amenable number.

110010999983617 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010999983617 is an equidigital number, since it uses as much as digits as its factorization.

110010999983617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6613488, while the sum is 64.

The spelling of 110010999983617 in words is "one hundred ten trillion, ten billion, nine hundred ninety-nine million, nine hundred eighty-three thousand, six hundred seventeen".