100112101094617 has 2 divisors, whose sum is σ = 100112101094618. Its totient is φ = 100112101094616.

The previous prime is 100112101094591. The next prime is 100112101094623. The reversal of 100112101094617 is 716490101211001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98550510962121 + 1561590132496 = 9927261^2 + 1249636^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112101094617 - 2³¹ = 100109953610969 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112101094647) 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, 50056050547308 + 50056050547309.

It is an arithmetic number, because the mean of its divisors is an integer number (50056050547309).

Almost surely, 2^{100112101094617} is an apocalyptic number.

It is an amenable number.

100112101094617 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112101094617 is an equidigital number, since it uses as much as digits as its factorization.

100112101094617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 34.

The spelling of 100112101094617 in words is "one hundred trillion, one hundred twelve billion, one hundred one million, ninety-four thousand, six hundred seventeen".