10344121051127 has 2 divisors, whose sum is σ = 10344121051128. Its totient is φ = 10344121051126.

The previous prime is 10344121051123. The next prime is 10344121051129. The reversal of 10344121051127 is 72115012144301.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10344121051127 - 2² = 10344121051123 is a prime.

It is a super-3 number, since 3×10344121051127³ (a number of 40 digits) contains 333 as substring.

Together with 10344121051129, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10344121051093 and 10344121051102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10344121051123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5172060525563 + 5172060525564.

It is an arithmetic number, because the mean of its divisors is an integer number (5172060525564).

Almost surely, 2^{10344121051127} is an apocalyptic number.

10344121051127 is a deficient number, since it is larger than the sum of its proper divisors (1).

10344121051127 is an equidigital number, since it uses as much as digits as its factorization.

10344121051127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 32.

Adding to 10344121051127 its reverse (72115012144301), we get a palindrome (82459133195428).

The spelling of 10344121051127 in words is "ten trillion, three hundred forty-four billion, one hundred twenty-one million, fifty-one thousand, one hundred twenty-seven".