2121121212577 has 2 divisors, whose sum is σ = 2121121212578. Its totient is φ = 2121121212576.

The previous prime is 2121121212563. The next prime is 2121121212589. The reversal of 2121121212577 is 7752121211212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1760918384016 + 360202828561 = 1326996^2 + 600169^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121121212577 - 2³⁹ = 1571365398689 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121121212517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060560606288 + 1060560606289.

It is an arithmetic number, because the mean of its divisors is an integer number (1060560606289).

Almost surely, 2^{2121121212577} is an apocalyptic number.

It is an amenable number.

2121121212577 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121121212577 is an equidigital number, since it uses as much as digits as its factorization.

2121121212577 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7840, while the sum is 34.

Adding to 2121121212577 its reverse (7752121211212), we get a palindrome (9873242423789).

The spelling of 2121121212577 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred twelve thousand, five hundred seventy-seven".