2112012012041 has 2 divisors, whose sum is σ = 2112012012042. Its totient is φ = 2112012012040.

The previous prime is 2112012012029. The next prime is 2112012012113. The reversal of 2112012012041 is 1402102102112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1642231998016 + 469780014025 = 1281496^2 + 685405^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112012012041 - 2¹⁴ = 2112011995657 is a prime.

It is not a weakly prime, because it can be changed into another prime (2112012012241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056006006020 + 1056006006021.

It is an arithmetic number, because the mean of its divisors is an integer number (1056006006021).

Almost surely, 2^{2112012012041} is an apocalyptic number.

It is an amenable number.

2112012012041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112012012041 is an equidigital number, since it uses as much as digits as its factorization.

2112012012041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2112012012041 its reverse (1402102102112), we get a palindrome (3514114114153).

The spelling of 2112012012041 in words is "two trillion, one hundred twelve billion, twelve million, twelve thousand, forty-one".