18291100001 has 2 divisors, whose sum is σ = 18291100002. Its totient is φ = 18291100000.

The previous prime is 18291099979. The next prime is 18291100007. The reversal of 18291100001 is 10000119281.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13081869376 + 5209230625 = 114376^2 + 72175^2 .

It is a cyclic number.

It is not a de Polignac number, because 18291100001 - 2¹⁴ = 18291083617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 18291100001.

It is not a weakly prime, because it can be changed into another prime (18291100007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9145550000 + 9145550001.

It is an arithmetic number, because the mean of its divisors is an integer number (9145550001).

Almost surely, 2^18291100001 is an apocalyptic number.

It is an amenable number.

18291100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

18291100001 is an equidigital number, since it uses as much as digits as its factorization.

18291100001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 23.

Adding to 18291100001 its reverse (10000119281), we get a palindrome (28291219282).

The spelling of 18291100001 in words is "eighteen billion, two hundred ninety-one million, one hundred thousand, one".