101321223300053 has 2 divisors, whose sum is σ = 101321223300054. Its totient is φ = 101321223300052.

The previous prime is 101321223299981. The next prime is 101321223300133. The reversal of 101321223300053 is 350003322123101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90832965380689 + 10488257919364 = 9530633^2 + 3238558^2 .

It is a cyclic number.

It is not a de Polignac number, because 101321223300053 - 2¹⁴ = 101321223283669 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101321223299995 and 101321223300031.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101321223305053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660611650026 + 50660611650027.

It is an arithmetic number, because the mean of its divisors is an integer number (50660611650027).

Almost surely, 2^{101321223300053} is an apocalyptic number.

It is an amenable number.

101321223300053 is a deficient number, since it is larger than the sum of its proper divisors (1).

101321223300053 is an equidigital number, since it uses as much as digits as its factorization.

101321223300053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 101321223300053 its reverse (350003322123101), we get a palindrome (451324545423154).

The spelling of 101321223300053 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twenty-three million, three hundred thousand, fifty-three".