101101321 has 2 divisors, whose sum is σ = 101101322. Its totient is φ = 101101320.

The previous prime is 101101289. The next prime is 101101331. The reversal of 101101321 is 123101101.

It is an a-pointer prime, because the next prime (101101331) can be obtained adding 101101321 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80353296 + 20748025 = 8964^2 + 4555^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101321 - 2⁵ = 101101289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101298 and 101101307.

It is not a weakly prime, because it can be changed into another prime (101101331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550660 + 50550661.

It is an arithmetic number, because the mean of its divisors is an integer number (50550661).

Almost surely, 2^101101321 is an apocalyptic number.

It is an amenable number.

101101321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101321 is an equidigital number, since it uses as much as digits as its factorization.

101101321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 101101321 is about 10054.9152656798. The cubic root of 101101321 is about 465.8566257520.

Adding to 101101321 its reverse (123101101), we get a palindrome (224202422).

The spelling of 101101321 in words is "one hundred one million, one hundred one thousand, three hundred twenty-one".