112100110110181 has 2 divisors, whose sum is σ = 112100110110182. Its totient is φ = 112100110110180.

The previous prime is 112100110110143. The next prime is 112100110110211. The reversal of 112100110110181 is 181011011001211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71805862659556 + 40294247450625 = 8473834^2 + 6347775^2 .

It is a cyclic number.

It is not a de Polignac number, because 112100110110181 - 2²⁷ = 112099975892453 is a prime.

It is a super-2 number, since 2×112100110110181² (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 (112100110111181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56050055055090 + 56050055055091.

It is an arithmetic number, because the mean of its divisors is an integer number (56050055055091).

Almost surely, 2^{112100110110181} is an apocalyptic number.

It is an amenable number.

112100110110181 is a deficient number, since it is larger than the sum of its proper divisors (1).

112100110110181 is an equidigital number, since it uses as much as digits as its factorization.

112100110110181 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 19.

Adding to 112100110110181 its reverse (181011011001211), we get a palindrome (293111121111392).

The spelling of 112100110110181 in words is "one hundred twelve trillion, one hundred billion, one hundred ten million, one hundred ten thousand, one hundred eighty-one".