9281820101101 has 2 divisors, whose sum is σ = 9281820101102. Its totient is φ = 9281820101100.

The previous prime is 9281820101093. The next prime is 9281820101107. The reversal of 9281820101101 is 1011010281829.

9281820101101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9066060780100 + 215759321001 = 3010990^2 + 464499^2 .

It is an emirp because it is prime and its reverse (1011010281829) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9281820101101 - 2³ = 9281820101093 is a prime.

It is a super-2 number, since 2×9281820101101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9281820101107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4640910050550 + 4640910050551.

It is an arithmetic number, because the mean of its divisors is an integer number (4640910050551).

Almost surely, 2^{9281820101101} is an apocalyptic number.

It is an amenable number.

9281820101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

9281820101101 is an equidigital number, since it uses as much as digits as its factorization.

9281820101101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 34.

The spelling of 9281820101101 in words is "nine trillion, two hundred eighty-one billion, eight hundred twenty million, one hundred one thousand, one hundred one".