10112123121 has 16 divisors (see below), whose sum is σ = 14075396736. Its totient is φ = 6445397376.

The previous prime is 10112123113. The next prime is 10112123173. The reversal of 10112123121 is 12132121101.

10112123121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10112123121 - 2³ = 10112123113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10112123121.

It is not an unprimeable number, because it can be changed into a prime (10112103121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126261 + ... + 190173.

It is an arithmetic number, because the mean of its divisors is an integer number (879712296).

Almost surely, 2^10112123121 is an apocalyptic number.

It is an amenable number.

10112123121 is a deficient number, since it is larger than the sum of its proper divisors (3963273615).

10112123121 is a wasteful number, since it uses less digits than its factorization.

10112123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66232.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10112123121 its reverse (12132121101), we get a palindrome (22244244222).

The spelling of 10112123121 in words is "ten billion, one hundred twelve million, one hundred twenty-three thousand, one hundred twenty-one".