111010100100181 has 2 divisors, whose sum is σ = 111010100100182. Its totient is φ = 111010100100180.

The previous prime is 111010100100173. The next prime is 111010100100217. The reversal of 111010100100181 is 181001001010111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107835057221956 + 3175042878225 = 10384366^2 + 1781865^2 .

It is a cyclic number.

It is not a de Polignac number, because 111010100100181 - 2³ = 111010100100173 is a prime.

It is a super-2 number, since 2×111010100100181² (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 (111010160100181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505050050090 + 55505050050091.

It is an arithmetic number, because the mean of its divisors is an integer number (55505050050091).

Almost surely, 2^{111010100100181} is an apocalyptic number.

It is an amenable number.

111010100100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

111010100100181 is an equidigital number, since it uses as much as digits as its factorization.

111010100100181 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 111010100100181 its reverse (181001001010111), we get a palindrome (292011101110292).

The spelling of 111010100100181 in words is "one hundred eleven trillion, ten billion, one hundred million, one hundred thousand, one hundred eighty-one".