2112114400541 has 2 divisors, whose sum is σ = 2112114400542. Its totient is φ = 2112114400540.

The previous prime is 2112114400489. The next prime is 2112114400573. The reversal of 2112114400541 is 1450044112112.

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., 1444046839225 + 668067561316 = 1201685^2 + 817354^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112114400541 - 2¹⁴ = 2112114384157 is a prime.

It is a super-2 number, since 2×2112114400541² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2112114400541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112114403541) 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, 1056057200270 + 1056057200271.

It is an arithmetic number, because the mean of its divisors is an integer number (1056057200271).

Almost surely, 2^{2112114400541} is an apocalyptic number.

It is an amenable number.

2112114400541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112114400541 is an equidigital number, since it uses as much as digits as its factorization.

2112114400541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1280, while the sum is 26.

Adding to 2112114400541 its reverse (1450044112112), we get a palindrome (3562158512653).

The spelling of 2112114400541 in words is "two trillion, one hundred twelve billion, one hundred fourteen million, four hundred thousand, five hundred forty-one".