100000020181 has 2 divisors, whose sum is σ = 100000020182. Its totient is φ = 100000020180.

The previous prime is 100000020167. The next prime is 100000020229. The reversal of 100000020181 is 181020000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73979104081 + 26020916100 = 271991^2 + 161310^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000020181 - 2⁷ = 100000020053 is a prime.

It is a super-2 number, since 2×100000020181² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100000020151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000010090 + 50000010091.

It is an arithmetic number, because the mean of its divisors is an integer number (50000010091).

Almost surely, 2^100000020181 is an apocalyptic number.

It is an amenable number.

100000020181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000020181 is an equidigital number, since it uses as much as digits as its factorization.

100000020181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100000020181 its reverse (181020000001), we get a palindrome (281020020182).

The spelling of 100000020181 in words is "one hundred billion, twenty thousand, one hundred eighty-one".