112200100001221 has 2 divisors, whose sum is σ = 112200100001222. Its totient is φ = 112200100001220.

The previous prime is 112200100001219. The next prime is 112200100001263. The reversal of 112200100001221 is 122100001002211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94264409148196 + 17935690853025 = 9708986^2 + 4235055^2 .

It is a cyclic number.

It is not a de Polignac number, because 112200100001221 - 2¹ = 112200100001219 is a prime.

Together with 112200100001219, 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 (112200100001621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56100050000610 + 56100050000611.

It is an arithmetic number, because the mean of its divisors is an integer number (56100050000611).

Almost surely, 2^{112200100001221} is an apocalyptic number.

It is an amenable number.

112200100001221 is a deficient number, since it is larger than the sum of its proper divisors (1).

112200100001221 is an equidigital number, since it uses as much as digits as its factorization.

112200100001221 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 13.

Adding to 112200100001221 its reverse (122100001002211), we get a palindrome (234300101003432).

The spelling of 112200100001221 in words is "one hundred twelve trillion, two hundred billion, one hundred million, one thousand, two hundred twenty-one".