101122212329 has 2 divisors, whose sum is σ = 101122212330. Its totient is φ = 101122212328.

The previous prime is 101122212287. The next prime is 101122212341. The reversal of 101122212329 is 923212221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99886338304 + 1235874025 = 316048^2 + 35155^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122212329 - 2¹⁶ = 101122146793 is a prime.

It is a super-2 number, since 2×101122212329² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101122212298 and 101122212307.

It is not a weakly prime, because it can be changed into another prime (101122211329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561106164 + 50561106165.

It is an arithmetic number, because the mean of its divisors is an integer number (50561106165).

Almost surely, 2^101122212329 is an apocalyptic number.

It is an amenable number.

101122212329 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122212329 is an equidigital number, since it uses as much as digits as its factorization.

101122212329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 101122212329 in words is "one hundred one billion, one hundred twenty-two million, two hundred twelve thousand, three hundred twenty-nine".