112101212202181 has 2 divisors, whose sum is σ = 112101212202182. Its totient is φ = 112101212202180.

The previous prime is 112101212202163. The next prime is 112101212202191. The reversal of 112101212202181 is 181202212101211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90740084526081 + 21361127676100 = 9525759^2 + 4621810^2 .

It is a cyclic number.

It is not a de Polignac number, because 112101212202181 - 2³⁹ = 111551456388293 is a prime.

It is a super-2 number, since 2×112101212202181² (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 (112101212202191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56050606101090 + 56050606101091.

It is an arithmetic number, because the mean of its divisors is an integer number (56050606101091).

Almost surely, 2^{112101212202181} is an apocalyptic number.

It is an amenable number.

112101212202181 is a deficient number, since it is larger than the sum of its proper divisors (1).

112101212202181 is an equidigital number, since it uses as much as digits as its factorization.

112101212202181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 25.

Adding to 112101212202181 its reverse (181202212101211), we get a palindrome (293303424303392).

The spelling of 112101212202181 in words is "one hundred twelve trillion, one hundred one billion, two hundred twelve million, two hundred two thousand, one hundred eighty-one".