10112123642473 has 2 divisors, whose sum is σ = 10112123642474. Its totient is φ = 10112123642472.

The previous prime is 10112123642461. The next prime is 10112123642477. The reversal of 10112123642473 is 37424632121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9998168112144 + 113955530329 = 3161988^2 + 337573^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10112123642473 is a prime.

It is a super-2 number, since 2×10112123642473² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10112123642477) 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, 5056061821236 + 5056061821237.

It is an arithmetic number, because the mean of its divisors is an integer number (5056061821237).

Almost surely, 2^{10112123642473} is an apocalyptic number.

It is an amenable number.

10112123642473 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112123642473 is an equidigital number, since it uses as much as digits as its factorization.

10112123642473 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 37.

Adding to 10112123642473 its reverse (37424632121101), we get a palindrome (47536755763574).

The spelling of 10112123642473 in words is "ten trillion, one hundred twelve billion, one hundred twenty-three million, six hundred forty-two thousand, four hundred seventy-three".