101322211301 has 2 divisors, whose sum is σ = 101322211302. Its totient is φ = 101322211300.

The previous prime is 101322211283. The next prime is 101322211307. The reversal of 101322211301 is 103112223101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50917471201 + 50404740100 = 225649^2 + 224510^2 .

It is an emirp because it is prime and its reverse (103112223101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101322211301 is a prime.

It is a super-2 number, since 2×101322211301² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101322211301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101322211307) 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, 50661105650 + 50661105651.

It is an arithmetic number, because the mean of its divisors is an integer number (50661105651).

Almost surely, 2^101322211301 is an apocalyptic number.

It is an amenable number.

101322211301 is a deficient number, since it is larger than the sum of its proper divisors (1).

101322211301 is an equidigital number, since it uses as much as digits as its factorization.

101322211301 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 17.

Adding to 101322211301 its reverse (103112223101), we get a palindrome (204434434402).

The spelling of 101322211301 in words is "one hundred one billion, three hundred twenty-two million, two hundred eleven thousand, three hundred one".