1001321103121 has 2 divisors, whose sum is σ = 1001321103122. Its totient is φ = 1001321103120.

The previous prime is 1001321103113. The next prime is 1001321103131. The reversal of 1001321103121 is 1213011231001.

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., 856587270400 + 144733832721 = 925520^2 + 380439^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001321103121 - 2³ = 1001321103113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001321103095 and 1001321103104.

It is not a weakly prime, because it can be changed into another prime (1001321103131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500660551560 + 500660551561.

It is an arithmetic number, because the mean of its divisors is an integer number (500660551561).

Almost surely, 2^{1001321103121} is an apocalyptic number.

It is an amenable number.

1001321103121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001321103121 is an equidigital number, since it uses as much as digits as its factorization.

1001321103121 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 16.

Adding to 1001321103121 its reverse (1213011231001), we get a palindrome (2214332334122).

The spelling of 1001321103121 in words is "one trillion, one billion, three hundred twenty-one million, one hundred three thousand, one hundred twenty-one".