18283829101 has 2 divisors, whose sum is σ = 18283829102. Its totient is φ = 18283829100.

The previous prime is 18283829077. The next prime is 18283829197. The reversal of 18283829101 is 10192838281.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18190995876 + 92833225 = 134874^2 + 9635^2 .

It is a cyclic number.

It is not a de Polignac number, because 18283829101 - 2¹⁷ = 18283698029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (18283829401) 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, 9141914550 + 9141914551.

It is an arithmetic number, because the mean of its divisors is an integer number (9141914551).

Almost surely, 2^18283829101 is an apocalyptic number.

It is an amenable number.

18283829101 is a deficient number, since it is larger than the sum of its proper divisors (1).

18283829101 is an equidigital number, since it uses as much as digits as its factorization.

18283829101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 43.

The spelling of 18283829101 in words is "eighteen billion, two hundred eighty-three million, eight hundred twenty-nine thousand, one hundred one".