180101081 has 2 divisors, whose sum is σ = 180101082. Its totient is φ = 180101080.

The previous prime is 180101059. The next prime is 180101083.

180101081 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137851081 + 42250000 = 11741^2 + 6500^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 180101081 - 2²² = 175906777 is a prime.

It is a super-2 number, since 2×180101081² = 64872798754737122, which contains 22 as substring.

Together with 180101083, it forms a pair of twin primes.

It is a Chen prime.

180101081 is a strobogrammatic number because it is the same when read upside-down.

It is not a weakly prime, because it can be changed into another prime (180101083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90050540 + 90050541.

It is an arithmetic number, because the mean of its divisors is an integer number (90050541).

Almost surely, 2^180101081 is an apocalyptic number.

It is an amenable number.

180101081 is a deficient number, since it is larger than the sum of its proper divisors (1).

180101081 is an equidigital number, since it uses as much as digits as its factorization.

180101081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 20.

The square root of 180101081 is about 13420.1744027416. The cubic root of 180101081 is about 564.7272873986.

It can be divided in two parts, 18010 and 1081, that added together give a palindrome (19091).

The spelling of 180101081 in words is "one hundred eighty million, one hundred one thousand, eighty-one".