102121311289 has 2 divisors, whose sum is σ = 102121311290. Its totient is φ = 102121311288.

The previous prime is 102121311221. The next prime is 102121311293. The reversal of 102121311289 is 982113121201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100004575225 + 2116736064 = 316235^2 + 46008^2 .

It is a cyclic number.

It is not a de Polignac number, because 102121311289 - 2³¹ = 99973827641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102121311289.

It is not a weakly prime, because it can be changed into another prime (102121311889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060655644 + 51060655645.

It is an arithmetic number, because the mean of its divisors is an integer number (51060655645).

Almost surely, 2^102121311289 is an apocalyptic number.

It is an amenable number.

102121311289 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121311289 is an equidigital number, since it uses as much as digits as its factorization.

102121311289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 31.

The spelling of 102121311289 in words is "one hundred two billion, one hundred twenty-one million, three hundred eleven thousand, two hundred eighty-nine".