101131211120321 has 2 divisors, whose sum is σ = 101131211120322. Its totient is φ = 101131211120320.

The previous prime is 101131211120309. The next prime is 101131211120341. The reversal of 101131211120321 is 123021112131101.

It is an a-pointer prime, because the next prime (101131211120341) can be obtained adding 101131211120321 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63394319823025 + 37736891297296 = 7962055^2 + 6143036^2 .

It is a cyclic number.

It is not a de Polignac number, because 101131211120321 - 2⁶ = 101131211120257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101131211120293 and 101131211120302.

It is not a weakly prime, because it can be changed into another prime (101131211120341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565605560160 + 50565605560161.

It is an arithmetic number, because the mean of its divisors is an integer number (50565605560161).

Almost surely, 2^{101131211120321} is an apocalyptic number.

It is an amenable number.

101131211120321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131211120321 is an equidigital number, since it uses as much as digits as its factorization.

101131211120321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 101131211120321 its reverse (123021112131101), we get a palindrome (224152323251422).

The spelling of 101131211120321 in words is "one hundred one trillion, one hundred thirty-one billion, two hundred eleven million, one hundred twenty thousand, three hundred twenty-one".