10112132122121 has 16 divisors (see below), whose sum is σ = 10581763027968. Its totient is φ = 9652202616000.

The previous prime is 10112132122111. The next prime is 10112132122129. The reversal of 10112132122121 is 12122123121101.

It is a cyclic number.

It is not a de Polignac number, because 10112132122121 - 2³⁸ = 9837254215177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10112132122093 and 10112132122102.

It is not an unprimeable number, because it can be changed into a prime (10112132122129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5316626 + ... + 6963531.

It is an arithmetic number, because the mean of its divisors is an integer number (661360189248).

Almost surely, 2^{10112132122121} is an apocalyptic number.

It is an amenable number.

10112132122121 is a deficient number, since it is larger than the sum of its proper divisors (469630905847).

10112132122121 is a wasteful number, since it uses less digits than its factorization.

10112132122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12280552.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 10112132122121 its reverse (12122123121101), we get a palindrome (22234255243222).

The spelling of 10112132122121 in words is "ten trillion, one hundred twelve billion, one hundred thirty-two million, one hundred twenty-two thousand, one hundred twenty-one".