2112011101241 has 2 divisors, whose sum is σ = 2112011101242. Its totient is φ = 2112011101240.

The previous prime is 2112011101169. The next prime is 2112011101273. The reversal of 2112011101241 is 1421011102112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2110131011641 + 1880089600 = 1452629^2 + 43360^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112011101241 - 2³⁴ = 2094831232057 is a prime.

It is not a weakly prime, because it can be changed into another prime (2112011161241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056005550620 + 1056005550621.

It is an arithmetic number, because the mean of its divisors is an integer number (1056005550621).

Almost surely, 2^{2112011101241} is an apocalyptic number.

It is an amenable number.

2112011101241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112011101241 is an equidigital number, since it uses as much as digits as its factorization.

2112011101241 is an evil number, because the sum of its binary digits is even.

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

Adding to 2112011101241 its reverse (1421011102112), we get a palindrome (3533022203353).

The spelling of 2112011101241 in words is "two trillion, one hundred twelve billion, eleven million, one hundred one thousand, two hundred forty-one".