100100110560617 has 2 divisors, whose sum is σ = 100100110560618. Its totient is φ = 100100110560616.

The previous prime is 100100110560589. The next prime is 100100110560623. The reversal of 100100110560617 is 716065011001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84714425953936 + 15385684606681 = 9204044^2 + 3922459^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100110560617 - 2¹⁸ = 100100110298473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100100110560617.

It is not a weakly prime, because it can be changed into another prime (100100110560677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050055280308 + 50050055280309.

It is an arithmetic number, because the mean of its divisors is an integer number (50050055280309).

Almost surely, 2^{100100110560617} is an apocalyptic number.

It is an amenable number.

100100110560617 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100110560617 is an equidigital number, since it uses as much as digits as its factorization.

100100110560617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 29.

Adding to 100100110560617 its reverse (716065011001001), we get a palindrome (816165121561618).

The spelling of 100100110560617 in words is "one hundred trillion, one hundred billion, one hundred ten million, five hundred sixty thousand, six hundred seventeen".