100111011000181 has 2 divisors, whose sum is σ = 100111011000182. Its totient is φ = 100111011000180.

The previous prime is 100111011000173. The next prime is 100111011000257. The reversal of 100111011000181 is 181000110111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73521467185156 + 26589543815025 = 8574466^2 + 5156505^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111011000181 - 2³ = 100111011000173 is a prime.

It is a super-2 number, since 2×100111011000181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111011070181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055505500090 + 50055505500091.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505500091).

Almost surely, 2^{100111011000181} is an apocalyptic number.

It is an amenable number.

100111011000181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111011000181 is an equidigital number, since it uses as much as digits as its factorization.

100111011000181 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 16.

Adding to 100111011000181 its reverse (181000110111001), we get a palindrome (281111121111182).

The spelling of 100111011000181 in words is "one hundred trillion, one hundred eleven billion, eleven million, one hundred eighty-one", and thus it is an aban number.