112321212220181 has 2 divisors, whose sum is σ = 112321212220182. Its totient is φ = 112321212220180.

The previous prime is 112321212220169. The next prime is 112321212220219. The reversal of 112321212220181 is 181022212123211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74760665280625 + 37560546939556 = 8646425^2 + 6128666^2 .

It is a cyclic number.

It is not a de Polignac number, because 112321212220181 - 2¹⁴ = 112321212203797 is a prime.

It is a super-2 number, since 2×112321212220181² (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 (112321212220111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56160606110090 + 56160606110091.

It is an arithmetic number, because the mean of its divisors is an integer number (56160606110091).

Almost surely, 2^{112321212220181} is an apocalyptic number.

It is an amenable number.

112321212220181 is a deficient number, since it is larger than the sum of its proper divisors (1).

112321212220181 is an equidigital number, since it uses as much as digits as its factorization.

112321212220181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 29.

Adding to 112321212220181 its reverse (181022212123211), we get a palindrome (293343424343392).

The spelling of 112321212220181 in words is "one hundred twelve trillion, three hundred twenty-one billion, two hundred twelve million, two hundred twenty thousand, one hundred eighty-one".