9281820101093 has 2 divisors, whose sum is σ = 9281820101094. Its totient is φ = 9281820101092.

The previous prime is 9281820101083. The next prime is 9281820101101. The reversal of 9281820101093 is 3901010281829.

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., 8915138987329 + 366681113764 = 2985823^2 + 605542^2 .

It is a cyclic number.

It is not a de Polignac number, because 9281820101093 - 2¹⁴ = 9281820084709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9281820101033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4640910050546 + 4640910050547.

It is an arithmetic number, because the mean of its divisors is an integer number (4640910050547).

Almost surely, 2^{9281820101093} is an apocalyptic number.

It is an amenable number.

9281820101093 is a deficient number, since it is larger than the sum of its proper divisors (1).

9281820101093 is an equidigital number, since it uses as much as digits as its factorization.

9281820101093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 44.

The spelling of 9281820101093 in words is "nine trillion, two hundred eighty-one billion, eight hundred twenty million, one hundred one thousand, ninety-three".