10112123233273 has 2 divisors, whose sum is σ = 10112123233274. Its totient is φ = 10112123233272.

The previous prime is 10112123233231. The next prime is 10112123233283. The reversal of 10112123233273 is 37233232121101.

10112123233273 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7015357417104 + 3096765816169 = 2648652^2 + 1759763^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10112123233273 is a prime.

It is not a weakly prime, because it can be changed into another prime (10112123233283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056061616636 + 5056061616637.

It is an arithmetic number, because the mean of its divisors is an integer number (5056061616637).

Almost surely, 2^{10112123233273} is an apocalyptic number.

It is an amenable number.

10112123233273 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112123233273 is an equidigital number, since it uses as much as digits as its factorization.

10112123233273 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 31.

Adding to 10112123233273 its reverse (37233232121101), we get a palindrome (47345355354374).

The spelling of 10112123233273 in words is "ten trillion, one hundred twelve billion, one hundred twenty-three million, two hundred thirty-three thousand, two hundred seventy-three".