10121121220589 has 2 divisors, whose sum is σ = 10121121220590. Its totient is φ = 10121121220588.

The previous prime is 10121121220577. The next prime is 10121121220603. The reversal of 10121121220589 is 98502212112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9954763283689 + 166357936900 = 3155117^2 + 407870^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121121220589 - 2⁸ = 10121121220333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121121220489) 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, 5060560610294 + 5060560610295.

It is an arithmetic number, because the mean of its divisors is an integer number (5060560610295).

Almost surely, 2^{10121121220589} is an apocalyptic number.

It is an amenable number.

10121121220589 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121121220589 is an equidigital number, since it uses as much as digits as its factorization.

10121121220589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 35.

The spelling of 10121121220589 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred twenty thousand, five hundred eighty-nine".