100122101204617 has 2 divisors, whose sum is σ = 100122101204618. Its totient is φ = 100122101204616.

The previous prime is 100122101204611. The next prime is 100122101204663. The reversal of 100122101204617 is 716402101221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54976011405561 + 45146089799056 = 7414581^2 + 6719084^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122101204617 - 2³⁹ = 99572345390729 is a prime.

It is not a weakly prime, because it can be changed into another prime (100122101204611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061050602308 + 50061050602309.

It is an arithmetic number, because the mean of its divisors is an integer number (50061050602309).

Almost surely, 2^{100122101204617} is an apocalyptic number.

It is an amenable number.

100122101204617 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122101204617 is an equidigital number, since it uses as much as digits as its factorization.

100122101204617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 28.

Adding to 100122101204617 its reverse (716402101221001), we get a palindrome (816524202425618).

The spelling of 100122101204617 in words is "one hundred trillion, one hundred twenty-two billion, one hundred one million, two hundred four thousand, six hundred seventeen".