100110011001617 has 2 divisors, whose sum is σ = 100110011001618. Its totient is φ = 100110011001616.

The previous prime is 100110011001601. The next prime is 100110011001643. The reversal of 100110011001617 is 716100110011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78469195424656 + 21640815576961 = 8858284^2 + 4651969^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110011001617 - 2⁴ = 100110011001601 is a prime.

It is a super-2 number, since 2×100110011001617² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100110011001017) 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, 50055005500808 + 50055005500809.

It is an arithmetic number, because the mean of its divisors is an integer number (50055005500809).

Almost surely, 2^{100110011001617} is an apocalyptic number.

It is an amenable number.

100110011001617 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110011001617 is an equidigital number, since it uses as much as digits as its factorization.

100110011001617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 20.

Adding to 100110011001617 its reverse (716100110011001), we get a palindrome (816210121012618).

The spelling of 100110011001617 in words is "one hundred trillion, one hundred ten billion, eleven million, one thousand, six hundred seventeen".