10112312123121 has 48 divisors (see below), whose sum is σ = 14643247093440. Its totient is φ = 6204565785600.

The previous prime is 10112312123107. The next prime is 10112312123237. The reversal of 10112312123121 is 12132121321101.

It is not a de Polignac number, because 10112312123121 - 2³⁴ = 10095132253937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10112312123101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239783325 + ... + 239825493.

It is an arithmetic number, because the mean of its divisors is an integer number (305067647780).

Almost surely, 2^{10112312123121} is an apocalyptic number.

It is an amenable number.

10112312123121 is a deficient number, since it is larger than the sum of its proper divisors (4530934970319).

10112312123121 is a wasteful number, since it uses less digits than its factorization.

10112312123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43586 (or 43573 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 10112312123121 its reverse (12132121321101), we get a palindrome (22244433444222).

The spelling of 10112312123121 in words is "ten trillion, one hundred twelve billion, three hundred twelve million, one hundred twenty-three thousand, one hundred twenty-one".