10214010988289 has 2 divisors, whose sum is σ = 10214010988290. Its totient is φ = 10214010988288.

The previous prime is 10214010988271. The next prime is 10214010988303. The reversal of 10214010988289 is 98288901041201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10189930155889 + 24080832400 = 3192167^2 + 155180^2 .

It is a cyclic number.

It is not a de Polignac number, because 10214010988289 - 2²⁰ = 10214009939713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10214010988289.

It is not a weakly prime, because it can be changed into another prime (10214010988229) 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, 5107005494144 + 5107005494145.

It is an arithmetic number, because the mean of its divisors is an integer number (5107005494145).

Almost surely, 2^{10214010988289} is an apocalyptic number.

It is an amenable number.

10214010988289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10214010988289 is an equidigital number, since it uses as much as digits as its factorization.

10214010988289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 663552, while the sum is 53.

The spelling of 10214010988289 in words is "ten trillion, two hundred fourteen billion, ten million, nine hundred eighty-eight thousand, two hundred eighty-nine".