112122121101377 has 2 divisors, whose sum is σ = 112122121101378. Its totient is φ = 112122121101376.

The previous prime is 112122121101167. The next prime is 112122121101433. The reversal of 112122121101377 is 773101121221211.

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., 102282801342016 + 9839319759361 = 10113496^2 + 3136769^2 .

It is a cyclic number.

It is not a de Polignac number, because 112122121101377 - 2⁸ = 112122121101121 is a prime.

It is a super-2 number, since 2×112122121101377² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112122121121377) 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, 56061060550688 + 56061060550689.

It is an arithmetic number, because the mean of its divisors is an integer number (56061060550689).

Almost surely, 2^{112122121101377} is an apocalyptic number.

It is an amenable number.

112122121101377 is a deficient number, since it is larger than the sum of its proper divisors (1).

112122121101377 is an equidigital number, since it uses as much as digits as its factorization.

112122121101377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 32.

Adding to 112122121101377 its reverse (773101121221211), we get a palindrome (885223242322588).

The spelling of 112122121101377 in words is "one hundred twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred one thousand, three hundred seventy-seven".