18198010001 has 2 divisors, whose sum is σ = 18198010002. Its totient is φ = 18198010000.

The previous prime is 18198009983. The next prime is 18198010007. The reversal of 18198010001 is 10001089181.

It is a Cunningham number, because it is equal to 134900²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18198010000 + 1 = 134900^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 18198010001 - 2²² = 18193815697 is a prime.

It is not a weakly prime, because it can be changed into another prime (18198010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9099005000 + 9099005001.

It is an arithmetic number, because the mean of its divisors is an integer number (9099005001).

Almost surely, 2^18198010001 is an apocalyptic number.

It is an amenable number.

18198010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

18198010001 is an equidigital number, since it uses as much as digits as its factorization.

18198010001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 29.

Adding to 18198010001 its reverse (10001089181), we get a palindrome (28199099182).

The spelling of 18198010001 in words is "eighteen billion, one hundred ninety-eight million, ten thousand, one".