10002334112123 has 2 divisors, whose sum is σ = 10002334112124. Its totient is φ = 10002334112122.

The previous prime is 10002334112081. The next prime is 10002334112209. The reversal of 10002334112123 is 32121143320001.

10002334112123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10002334112123 - 2¹⁶ = 10002334046587 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002334112923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001167056061 + 5001167056062.

It is an arithmetic number, because the mean of its divisors is an integer number (5001167056062).

Almost surely, 2^{10002334112123} is an apocalyptic number.

10002334112123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002334112123 is an equidigital number, since it uses as much as digits as its factorization.

10002334112123 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10002334112123 its reverse (32121143320001), we get a palindrome (42123477432124).

The spelling of 10002334112123 in words is "ten trillion, two billion, three hundred thirty-four million, one hundred twelve thousand, one hundred twenty-three".