10121103011321 has 2 divisors, whose sum is σ = 10121103011322. Its totient is φ = 10121103011320.

The previous prime is 10121103011311. The next prime is 10121103011351. The reversal of 10121103011321 is 12311030112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9292254822400 + 828848188921 = 3048320^2 + 910411^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121103011321 - 2³⁸ = 9846225104377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10121103011321.

It is not a weakly prime, because it can be changed into another prime (10121103011311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060551505660 + 5060551505661.

It is an arithmetic number, because the mean of its divisors is an integer number (5060551505661).

Almost surely, 2^{10121103011321} is an apocalyptic number.

It is an amenable number.

10121103011321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121103011321 is an equidigital number, since it uses as much as digits as its factorization.

10121103011321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10121103011321 its reverse (12311030112101), we get a palindrome (22432133123422).

The spelling of 10121103011321 in words is "ten trillion, one hundred twenty-one billion, one hundred three million, eleven thousand, three hundred twenty-one".