2122121014417 has 2 divisors, whose sum is σ = 2122121014418. Its totient is φ = 2122121014416.

The previous prime is 2122121014411. The next prime is 2122121014423. The reversal of 2122121014417 is 7144101212212.

It is a balanced prime because it is at equal distance from previous prime (2122121014411) and next prime (2122121014423).

It can be written as a sum of positive squares in only one way, i.e., 1343074705921 + 779046308496 = 1158911^2 + 882636^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122121014417 - 2¹¹ = 2122121012369 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122121014411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061060507208 + 1061060507209.

It is an arithmetic number, because the mean of its divisors is an integer number (1061060507209).

Almost surely, 2^{2122121014417} is an apocalyptic number.

It is an amenable number.

2122121014417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122121014417 is an equidigital number, since it uses as much as digits as its factorization.

2122121014417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1792, while the sum is 28.

Adding to 2122121014417 its reverse (7144101212212), we get a palindrome (9266222226629).

The spelling of 2122121014417 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-one million, fourteen thousand, four hundred seventeen".