181787023782101 has 2 divisors, whose sum is σ = 181787023782102. Its totient is φ = 181787023782100.

The previous prime is 181787023782043. The next prime is 181787023782131. The reversal of 181787023782101 is 101287320787181.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 166895135064100 + 14891888718001 = 12918790^2 + 3859001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-181787023782101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (181787023782131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90893511891050 + 90893511891051.

It is an arithmetic number, because the mean of its divisors is an integer number (90893511891051).

Almost surely, 2^{181787023782101} is an apocalyptic number.

It is an amenable number.

181787023782101 is a deficient number, since it is larger than the sum of its proper divisors (1).

181787023782101 is an equidigital number, since it uses as much as digits as its factorization.

181787023782101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2107392, while the sum is 56.

The spelling of 181787023782101 in words is "one hundred eighty-one trillion, seven hundred eighty-seven billion, twenty-three million, seven hundred eighty-two thousand, one hundred one".