101322012213173 has 2 divisors, whose sum is σ = 101322012213174. Its totient is φ = 101322012213172.

The previous prime is 101322012213131. The next prime is 101322012213229. The reversal of 101322012213173 is 371312210223101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91756340576209 + 9565671636964 = 9578953^2 + 3092842^2 .

It is a cyclic number.

It is not a de Polignac number, because 101322012213173 - 2¹⁸ = 101322011951029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101322012213073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50661006106586 + 50661006106587.

It is an arithmetic number, because the mean of its divisors is an integer number (50661006106587).

Almost surely, 2^{101322012213173} is an apocalyptic number.

It is an amenable number.

101322012213173 is a deficient number, since it is larger than the sum of its proper divisors (1).

101322012213173 is an equidigital number, since it uses as much as digits as its factorization.

101322012213173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

Adding to 101322012213173 its reverse (371312210223101), we get a palindrome (472634222436274).

The spelling of 101322012213173 in words is "one hundred one trillion, three hundred twenty-two billion, twelve million, two hundred thirteen thousand, one hundred seventy-three".