2112122502337 has 2 divisors, whose sum is σ = 2112122502338. Its totient is φ = 2112122502336.

The previous prime is 2112122502311. The next prime is 2112122502353. The reversal of 2112122502337 is 7332052212112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2099574918081 + 12547584256 = 1448991^2 + 112016^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112122502337 is a prime.

It is a super-2 number, since 2×2112122502337² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112122502299 and 2112122502308.

It is not a weakly prime, because it can be changed into another prime (2112122502307) 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, 1056061251168 + 1056061251169.

It is an arithmetic number, because the mean of its divisors is an integer number (1056061251169).

Almost surely, 2^{2112122502337} is an apocalyptic number.

It is an amenable number.

2112122502337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112122502337 is an equidigital number, since it uses as much as digits as its factorization.

2112122502337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 31.

Adding to 2112122502337 its reverse (7332052212112), we get a palindrome (9444174714449).

The spelling of 2112122502337 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, five hundred two thousand, three hundred thirty-seven".