102117017167 has 4 divisors (see below), whose sum is σ = 111400382376. Its totient is φ = 92833651960.

The previous prime is 102117017161. The next prime is 102117017201. The reversal of 102117017167 is 761710711201.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 761710711201 = 11 ⋅69246428291.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102117017167 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102117017161) 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 in 3 ways as a sum of consecutive naturals, for example, 4641682588 + ... + 4641682609.

It is an arithmetic number, because the mean of its divisors is an integer number (27850095594).

Almost surely, 2^102117017167 is an apocalyptic number.

102117017167 is a deficient number, since it is larger than the sum of its proper divisors (9283365209).

102117017167 is an equidigital number, since it uses as much as digits as its factorization.

102117017167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9283365208.

The product of its (nonzero) digits is 4116, while the sum is 34.

Adding to 102117017167 its reverse (761710711201), we get a palindrome (863827728368).

The spelling of 102117017167 in words is "one hundred two billion, one hundred seventeen million, seventeen thousand, one hundred sixty-seven".