2112122112073 has 2 divisors, whose sum is σ = 2112122112074. Its totient is φ = 2112122112072.

The previous prime is 2112122112017. The next prime is 2112122112083. The reversal of 2112122112073 is 3702112212112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2098650563584 + 13471548489 = 1448672^2 + 116067^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112122112073 - 2¹³ = 2112122103881 is a prime.

It is a super-2 number, since 2×2112122112073² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112122112083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056061056036 + 1056061056037.

It is an arithmetic number, because the mean of its divisors is an integer number (1056061056037).

Almost surely, 2^{2112122112073} is an apocalyptic number.

It is an amenable number.

2112122112073 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112122112073 is an equidigital number, since it uses as much as digits as its factorization.

2112122112073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 2112122112073 its reverse (3702112212112), we get a palindrome (5814234324185).

The spelling of 2112122112073 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twelve thousand, seventy-three".