180011111000101 has 2 divisors, whose sum is σ = 180011111000102. Its totient is φ = 180011111000100.

The previous prime is 180011111000033. The next prime is 180011111000113. The reversal of 180011111000101 is 101000111110081.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179952190719876 + 58920280225 = 13414626^2 + 242735^2 .

It is an emirp because it is prime and its reverse (101000111110081) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 180011111000101 - 2³¹ = 180008963516453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (180011111000131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90005555500050 + 90005555500051.

It is an arithmetic number, because the mean of its divisors is an integer number (90005555500051).

Almost surely, 2^{180011111000101} is an apocalyptic number.

It is an amenable number.

180011111000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

180011111000101 is an equidigital number, since it uses as much as digits as its factorization.

180011111000101 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 180011111000101 its reverse (101000111110081), we get a palindrome (281011222110182).

The spelling of 180011111000101 in words is "one hundred eighty trillion, eleven billion, one hundred eleven million, one hundred one", and thus it is an aban number.