101211122321 has 2 divisors, whose sum is σ = 101211122322. Its totient is φ = 101211122320.

The previous prime is 101211122291. The next prime is 101211122357. The reversal of 101211122321 is 123221112101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54785956096 + 46425166225 = 234064^2 + 215465^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211122321 - 2²⁶ = 101144013457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101211122321.

It is not a weakly prime, because it can be changed into another prime (101211152321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605561160 + 50605561161.

It is an arithmetic number, because the mean of its divisors is an integer number (50605561161).

Almost surely, 2^101211122321 is an apocalyptic number.

It is an amenable number.

101211122321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211122321 is an equidigital number, since it uses as much as digits as its factorization.

101211122321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101211122321 its reverse (123221112101), we get a palindrome (224432234422).

The spelling of 101211122321 in words is "one hundred one billion, two hundred eleven million, one hundred twenty-two thousand, three hundred twenty-one".