102113112210289 has 2 divisors, whose sum is σ = 102113112210290. Its totient is φ = 102113112210288.

The previous prime is 102113112210253. The next prime is 102113112210299. The reversal of 102113112210289 is 982012211311201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89276419904400 + 12836692305889 = 9448620^2 + 3582833^2 .

It is a cyclic number.

It is not a de Polignac number, because 102113112210289 - 2²¹ = 102113110113137 is a prime.

It is not a weakly prime, because it can be changed into another prime (102113112210229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056556105144 + 51056556105145.

It is an arithmetic number, because the mean of its divisors is an integer number (51056556105145).

Almost surely, 2^{102113112210289} is an apocalyptic number.

It is an amenable number.

102113112210289 is a deficient number, since it is larger than the sum of its proper divisors (1).

102113112210289 is an equidigital number, since it uses as much as digits as its factorization.

102113112210289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 34.

The spelling of 102113112210289 in words is "one hundred two trillion, one hundred thirteen billion, one hundred twelve million, two hundred ten thousand, two hundred eighty-nine".