10123311072229 has 2 divisors, whose sum is σ = 10123311072230. Its totient is φ = 10123311072228.

The previous prime is 10123311072209. The next prime is 10123311072241. The reversal of 10123311072229 is 92227011332101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8311123941604 + 1812187130625 = 2882902^2 + 1346175^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123311072229 - 2⁵ = 10123311072197 is a prime.

It is a super-2 number, since 2×10123311072229² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10123311072194 and 10123311072203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123311072209) 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, 5061655536114 + 5061655536115.

It is an arithmetic number, because the mean of its divisors is an integer number (5061655536115).

Almost surely, 2^{10123311072229} is an apocalyptic number.

It is an amenable number.

10123311072229 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123311072229 is an equidigital number, since it uses as much as digits as its factorization.

10123311072229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 10123311072229 in words is "ten trillion, one hundred twenty-three billion, three hundred eleven million, seventy-two thousand, two hundred twenty-nine".