101122003002329 has 2 divisors, whose sum is σ = 101122003002330. Its totient is φ = 101122003002328.

The previous prime is 101122003002299. The next prime is 101122003002389. The reversal of 101122003002329 is 923200300221101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99434342192329 + 1687660810000 = 9971677^2 + 1299100^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101122003002329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101122003002298 and 101122003002307.

It is not a weakly prime, because it can be changed into another prime (101122003002389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561001501164 + 50561001501165.

It is an arithmetic number, because the mean of its divisors is an integer number (50561001501165).

Almost surely, 2^{101122003002329} is an apocalyptic number.

It is an amenable number.

101122003002329 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122003002329 is an equidigital number, since it uses as much as digits as its factorization.

101122003002329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 101122003002329 in words is "one hundred one trillion, one hundred twenty-two billion, three million, two thousand, three hundred twenty-nine".