101322123121 has 2 divisors, whose sum is σ = 101322123122. Its totient is φ = 101322123120.

The previous prime is 101322123109. The next prime is 101322123131. The reversal of 101322123121 is 121321223101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101321892721 + 230400 = 318311^2 + 480^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101322123121 is a prime.

It is not a weakly prime, because it can be changed into another prime (101322123131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50661061560 + 50661061561.

It is an arithmetic number, because the mean of its divisors is an integer number (50661061561).

Almost surely, 2^101322123121 is an apocalyptic number.

It is an amenable number.

101322123121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101322123121 is an equidigital number, since it uses as much as digits as its factorization.

101322123121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101322123121 its reverse (121321223101), we get a palindrome (222643346222).

The spelling of 101322123121 in words is "one hundred one billion, three hundred twenty-two million, one hundred twenty-three thousand, one hundred twenty-one".