100120209517 has 2 divisors, whose sum is σ = 100120209518. Its totient is φ = 100120209516.

The previous prime is 100120209499. The next prime is 100120209523. The reversal of 100120209517 is 715902021001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66672920521 + 33447288996 = 258211^2 + 182886^2 .

It is an emirp because it is prime and its reverse (715902021001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100120209517 - 2¹⁹ = 100119685229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100120209017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060104758 + 50060104759.

It is an arithmetic number, because the mean of its divisors is an integer number (50060104759).

Almost surely, 2^100120209517 is an apocalyptic number.

It is an amenable number.

100120209517 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120209517 is an equidigital number, since it uses as much as digits as its factorization.

100120209517 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 28.

The spelling of 100120209517 in words is "one hundred billion, one hundred twenty million, two hundred nine thousand, five hundred seventeen".