100111000000181 has 2 divisors, whose sum is σ = 100111000000182. Its totient is φ = 100111000000180.

The previous prime is 100111000000097. The next prime is 100111000000237. The reversal of 100111000000181 is 181000000111001.

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., 89473324213156 + 10637675787025 = 9459034^2 + 3261545^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111000000181 is a prime.

It is a super-2 number, since 2×100111000000181² (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 (100111000008181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055500000090 + 50055500000091.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500000091).

Almost surely, 2^{100111000000181} is an apocalyptic number.

It is an amenable number.

100111000000181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111000000181 is an equidigital number, since it uses as much as digits as its factorization.

100111000000181 is an evil number, because the sum of its binary digits is even.

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

Adding to 100111000000181 its reverse (181000000111001), we get a palindrome (281111000111182).

The spelling of 100111000000181 in words is "one hundred trillion, one hundred eleven billion, one hundred eighty-one", and thus it is an aban number.