10123320772049 has 2 divisors, whose sum is σ = 10123320772050. Its totient is φ = 10123320772048.

The previous prime is 10123320772007. The next prime is 10123320772109. The reversal of 10123320772049 is 94027702332101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7691015399824 + 2432305372225 = 2773268^2 + 1559585^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123320772049 - 2²⁴ = 10123303994833 is a prime.

It is a super-2 number, since 2×10123320772049² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10123320771997 and 10123320772015.

It is not a weakly prime, because it can be changed into another prime (10123320472049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061660386024 + 5061660386025.

It is an arithmetic number, because the mean of its divisors is an integer number (5061660386025).

Almost surely, 2^{10123320772049} is an apocalyptic number.

It is an amenable number.

10123320772049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123320772049 is an equidigital number, since it uses as much as digits as its factorization.

10123320772049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 127008, while the sum is 41.

The spelling of 10123320772049 in words is "ten trillion, one hundred twenty-three billion, three hundred twenty million, seven hundred seventy-two thousand, forty-nine".