112222120101101 has 2 divisors, whose sum is σ = 112222120101102. Its totient is φ = 112222120101100.

The previous prime is 112222120101029. The next prime is 112222120101103. The reversal of 112222120101101 is 101101021222211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108967000503076 + 3255119598025 = 10438726^2 + 1804195^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112222120101101 is a prime.

It is a super-2 number, since 2×112222120101101² (a number of 29 digits) contains 22 as substring.

Together with 112222120101103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112222120101101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112222120101103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56111060050550 + 56111060050551.

It is an arithmetic number, because the mean of its divisors is an integer number (56111060050551).

Almost surely, 2^{112222120101101} is an apocalyptic number.

It is an amenable number.

112222120101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112222120101101 is an equidigital number, since it uses as much as digits as its factorization.

112222120101101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112222120101101 its reverse (101101021222211), we get a palindrome (213323141323312).

The spelling of 112222120101101 in words is "one hundred twelve trillion, two hundred twenty-two billion, one hundred twenty million, one hundred one thousand, one hundred one".