1112100181 has 2 divisors, whose sum is σ = 1112100182. Its totient is φ = 1112100180.

The previous prime is 1112100179. The next prime is 1112100251. The reversal of 1112100181 is 1810012111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 786297681 + 325802500 = 28041^2 + 18050^2 .

It is an emirp because it is prime and its reverse (1810012111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1112100181 - 2¹ = 1112100179 is a prime.

It is a super-2 number, since 2×1112100181² = 2473533625160465522, which contains 22 as substring.

Together with 1112100179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1112100481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 556050090 + 556050091.

It is an arithmetic number, because the mean of its divisors is an integer number (556050091).

Almost surely, 2^1112100181 is an apocalyptic number.

It is an amenable number.

1112100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1112100181 is an equidigital number, since it uses as much as digits as its factorization.

1112100181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 16.

The square root of 1112100181 is about 33348.1660815104. The cubic root of 1112100181 is about 1036.0514045169.

Adding to 1112100181 its reverse (1810012111), we get a palindrome (2922112292).

The spelling of 1112100181 in words is "one billion, one hundred twelve million, one hundred thousand, one hundred eighty-one".