101001100000181 has 2 divisors, whose sum is σ = 101001100000182. Its totient is φ = 101001100000180.

The previous prime is 101001100000159. The next prime is 101001100000201. The reversal of 101001100000181 is 181000001100101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72686366896900 + 28314733103281 = 8525630^2 + 5321159^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001100000181 - 2⁴⁶ = 30632355822517 is a prime.

It is a super-3 number, since 3×101001100000181³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001100000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500550000090 + 50500550000091.

It is an arithmetic number, because the mean of its divisors is an integer number (50500550000091).

Almost surely, 2^{101001100000181} is an apocalyptic number.

It is an amenable number.

101001100000181 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001100000181 is an equidigital number, since it uses as much as digits as its factorization.

101001100000181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101001100000181 its reverse (181000001100101), we get a palindrome (282001101100282).

The spelling of 101001100000181 in words is "one hundred one trillion, one billion, one hundred million, one hundred eighty-one", and thus it is an aban number.