121003020006829 has 2 divisors, whose sum is σ = 121003020006830. Its totient is φ = 121003020006828.

The previous prime is 121003020006779. The next prime is 121003020006871. The reversal of 121003020006829 is 928600020300121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116077416809929 + 4925603196900 = 10773923^2 + 2219370^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-121003020006829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121003020006794 and 121003020006803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121003020016829) 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, 60501510003414 + 60501510003415.

It is an arithmetic number, because the mean of its divisors is an integer number (60501510003415).

Almost surely, 2^{121003020006829} is an apocalyptic number.

It is an amenable number.

121003020006829 is a deficient number, since it is larger than the sum of its proper divisors (1).

121003020006829 is an equidigital number, since it uses as much as digits as its factorization.

121003020006829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 121003020006829 in words is "one hundred twenty-one trillion, three billion, twenty million, six thousand, eight hundred twenty-nine".