101341411321 has 2 divisors, whose sum is σ = 101341411322. Its totient is φ = 101341411320.

The previous prime is 101341411309. The next prime is 101341411333. The reversal of 101341411321 is 123114143101.

It is a balanced prime because it is at equal distance from previous prime (101341411309) and next prime (101341411333).

It can be written as a sum of positive squares in only one way, i.e., 64607472400 + 36733938921 = 254180^2 + 191661^2 .

It is a cyclic number.

It is not a de Polignac number, because 101341411321 - 2²¹ = 101339314169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101341411292 and 101341411301.

It is not a weakly prime, because it can be changed into another prime (101341411361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50670705660 + 50670705661.

It is an arithmetic number, because the mean of its divisors is an integer number (50670705661).

Almost surely, 2^101341411321 is an apocalyptic number.

It is an amenable number.

101341411321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101341411321 is an equidigital number, since it uses as much as digits as its factorization.

101341411321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 101341411321 its reverse (123114143101), we get a palindrome (224455554422).

The spelling of 101341411321 in words is "one hundred one billion, three hundred forty-one million, four hundred eleven thousand, three hundred twenty-one".