2112135540121 has 2 divisors, whose sum is σ = 2112135540122. Its totient is φ = 2112135540120.

The previous prime is 2112135540079. The next prime is 2112135540157. The reversal of 2112135540121 is 1210455312112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1691401690521 + 420733849600 = 1300539^2 + 648640^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112135540121 - 2¹⁷ = 2112135409049 is a prime.

It is a super-2 number, since 2×2112135540121² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112135540121.

It is not a weakly prime, because it can be changed into another prime (2112135540191) 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, 1056067770060 + 1056067770061.

It is an arithmetic number, because the mean of its divisors is an integer number (1056067770061).

Almost surely, 2^{2112135540121} is an apocalyptic number.

It is an amenable number.

2112135540121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112135540121 is an equidigital number, since it uses as much as digits as its factorization.

2112135540121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 2112135540121 in words is "two trillion, one hundred twelve billion, one hundred thirty-five million, five hundred forty thousand, one hundred twenty-one".