1001301322121 has 2 divisors, whose sum is σ = 1001301322122. Its totient is φ = 1001301322120.

The previous prime is 1001301322061. The next prime is 1001301322123. The reversal of 1001301322121 is 1212231031001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 957385928521 + 43915393600 = 978461^2 + 209560^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001301322121 - 2¹⁸ = 1001301059977 is a prime.

Together with 1001301322123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001301322121.

It is not a weakly prime, because it can be changed into another prime (1001301322123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500650661060 + 500650661061.

It is an arithmetic number, because the mean of its divisors is an integer number (500650661061).

Almost surely, 2^{1001301322121} is an apocalyptic number.

It is an amenable number.

1001301322121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001301322121 is an equidigital number, since it uses as much as digits as its factorization.

1001301322121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1001301322121 its reverse (1212231031001), we get a palindrome (2213532353122).

The spelling of 1001301322121 in words is "one trillion, one billion, three hundred one million, three hundred twenty-two thousand, one hundred twenty-one".