10188618161 has 2 divisors, whose sum is σ = 10188618162. Its totient is φ = 10188618160.

The previous prime is 10188618157. The next prime is 10188618163. The reversal of 10188618161 is 16181688101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6457729600 + 3730888561 = 80360^2 + 61081^2 .

It is an emirp because it is prime and its reverse (16181688101) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 19181988101 and 10188918191.

It is a cyclic number.

It is not a de Polignac number, because 10188618161 - 2² = 10188618157 is a prime.

Together with 10188618163, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10188618163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5094309080 + 5094309081.

It is an arithmetic number, because the mean of its divisors is an integer number (5094309081).

Almost surely, 2^10188618161 is an apocalyptic number.

It is an amenable number.

10188618161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10188618161 is an equidigital number, since it uses as much as digits as its factorization.

10188618161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18432, while the sum is 41.

The spelling of 10188618161 in words is "ten billion, one hundred eighty-eight million, six hundred eighteen thousand, one hundred sixty-one".