10122112102049 has 2 divisors, whose sum is σ = 10122112102050. Its totient is φ = 10122112102048.

The previous prime is 10122112102033. The next prime is 10122112102051. The reversal of 10122112102049 is 94020121122101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8795779829824 + 1326332272225 = 2965768^2 + 1151665^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122112102049 - 2⁴ = 10122112102033 is a prime.

Together with 10122112102051, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10122112102849) 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, 5061056051024 + 5061056051025.

It is an arithmetic number, because the mean of its divisors is an integer number (5061056051025).

Almost surely, 2^{10122112102049} is an apocalyptic number.

It is an amenable number.

10122112102049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122112102049 is an equidigital number, since it uses as much as digits as its factorization.

10122112102049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 10122112102049 in words is "ten trillion, one hundred twenty-two billion, one hundred twelve million, one hundred two thousand, forty-nine".