1010101321 has 2 divisors, whose sum is σ = 1010101322. Its totient is φ = 1010101320.

The previous prime is 1010101289. The next prime is 1010101331. The reversal of 1010101321 is 1231010101.

1010101321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (1010101331) can be obtained adding 1010101321 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., 1005841225 + 4260096 = 31715^2 + 2064^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010101321 - 2⁵ = 1010101289 is a prime.

It is a super-3 number, since 3×1010101321³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010101298 and 1010101307.

It is not a weakly prime, because it can be changed into another prime (1010101331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050660 + 505050661.

It is an arithmetic number, because the mean of its divisors is an integer number (505050661).

Almost surely, 2^1010101321 is an apocalyptic number.

It is an amenable number.

1010101321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010101321 is an equidigital number, since it uses as much as digits as its factorization.

1010101321 is an odious number, because the sum of its binary digits is odd.

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

The square root of 1010101321 is about 31782.0911992902. The cubic root of 1010101321 is about 1003.3558327889.

Adding to 1010101321 its reverse (1231010101), we get a palindrome (2241111422).

The spelling of 1010101321 in words is "one billion, ten million, one hundred one thousand, three hundred twenty-one".