102120201120017 has 2 divisors, whose sum is σ = 102120201120018. Its totient is φ = 102120201120016.

The previous prime is 102120201119957. The next prime is 102120201120031. The reversal of 102120201120017 is 710021102021201.

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., 60473003520721 + 41647197599296 = 7776439^2 + 6453464^2 .

It is a cyclic number.

It is not a de Polignac number, because 102120201120017 - 2¹⁰ = 102120201118993 is a prime.

It is not a weakly prime, because it can be changed into another prime (102120201120317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060100560008 + 51060100560009.

It is an arithmetic number, because the mean of its divisors is an integer number (51060100560009).

Almost surely, 2^{102120201120017} is an apocalyptic number.

It is an amenable number.

102120201120017 is a deficient number, since it is larger than the sum of its proper divisors (1).

102120201120017 is an equidigital number, since it uses as much as digits as its factorization.

102120201120017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 102120201120017 its reverse (710021102021201), we get a palindrome (812141303141218).

The spelling of 102120201120017 in words is "one hundred two trillion, one hundred twenty billion, two hundred one million, one hundred twenty thousand, seventeen".