1000110121321 has 2 divisors, whose sum is σ = 1000110121322. Its totient is φ = 1000110121320.

The previous prime is 1000110121289. The next prime is 1000110121369. The reversal of 1000110121321 is 1231210110001.

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., 882539998096 + 117570123225 = 939436^2 + 342885^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000110121321 - 2⁵ = 1000110121289 is a prime.

It is a super-3 number, since 3×1000110121321³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1000110121421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500055060660 + 500055060661.

It is an arithmetic number, because the mean of its divisors is an integer number (500055060661).

Almost surely, 2^{1000110121321} is an apocalyptic number.

It is an amenable number.

1000110121321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000110121321 is an equidigital number, since it uses as much as digits as its factorization.

1000110121321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1000110121321 its reverse (1231210110001), we get a palindrome (2231320231322).

The spelling of 1000110121321 in words is "one trillion, one hundred ten million, one hundred twenty-one thousand, three hundred twenty-one".