10121113329949 has 2 divisors, whose sum is σ = 10121113329950. Its totient is φ = 10121113329948.

The previous prime is 10121113329923. The next prime is 10121113330037. The reversal of 10121113329949 is 94992331112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7846693428025 + 2274419901924 = 2801195^2 + 1508118^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121113329949 - 2³⁵ = 10086753591581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121113329899 and 10121113329908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121113329449) 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, 5060556664974 + 5060556664975.

It is an arithmetic number, because the mean of its divisors is an integer number (5060556664975).

Almost surely, 2^{10121113329949} is an apocalyptic number.

It is an amenable number.

10121113329949 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121113329949 is an equidigital number, since it uses as much as digits as its factorization.

10121113329949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104976, while the sum is 46.

The spelling of 10121113329949 in words is "ten trillion, one hundred twenty-one billion, one hundred thirteen million, three hundred twenty-nine thousand, nine hundred forty-nine".