101011110110321 has 2 divisors, whose sum is σ = 101011110110322. Its totient is φ = 101011110110320.

The previous prime is 101011110110311. The next prime is 101011110110353. The reversal of 101011110110321 is 123011011110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93967606428721 + 7043503681600 = 9693689^2 + 2653960^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011110110321 - 2¹⁰ = 101011110109297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011110110296 and 101011110110305.

It is not a weakly prime, because it can be changed into another prime (101011110110311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505555055160 + 50505555055161.

It is an arithmetic number, because the mean of its divisors is an integer number (50505555055161).

Almost surely, 2^{101011110110321} is an apocalyptic number.

It is an amenable number.

101011110110321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011110110321 is an equidigital number, since it uses as much as digits as its factorization.

101011110110321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 101011110110321 its reverse (123011011110101), we get a palindrome (224022121220422).

The spelling of 101011110110321 in words is "one hundred one trillion, eleven billion, one hundred ten million, one hundred ten thousand, three hundred twenty-one".