18201000020129 has 2 divisors, whose sum is σ = 18201000020130. Its totient is φ = 18201000020128.

The previous prime is 18201000020123. The next prime is 18201000020197. The reversal of 18201000020129 is 92102000010281.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15425044165729 + 2775955854400 = 3927473^2 + 1666120^2 .

It is a cyclic number.

It is not a de Polignac number, because 18201000020129 - 2⁴ = 18201000020113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 18201000020098 and 18201000020107.

It is not a weakly prime, because it can be changed into another prime (18201000020123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9100500010064 + 9100500010065.

It is an arithmetic number, because the mean of its divisors is an integer number (9100500010065).

Almost surely, 2^{18201000020129} is an apocalyptic number.

It is an amenable number.

18201000020129 is a deficient number, since it is larger than the sum of its proper divisors (1).

18201000020129 is an equidigital number, since it uses as much as digits as its factorization.

18201000020129 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 26.

The spelling of 18201000020129 in words is "eighteen trillion, two hundred one billion, twenty thousand, one hundred twenty-nine".