112101201122121 has 24 divisors (see below), whose sum is σ = 162051514780896. Its totient is φ = 74675276582400.

The previous prime is 112101201122063. The next prime is 112101201122149. The reversal of 112101201122121 is 121221102101211.

It is a happy number.

112101201122121 is a `hidden beast` number, since 11 + 210 + 1 + 201 + 1 + 221 + 21 = 666.

It is not a de Polignac number, because 112101201122121 - 2²⁹ = 112100664251209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112101201122094 and 112101201122103.

It is not an unprimeable number, because it can be changed into a prime (112101201122161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88171486 + ... + 89433848.

It is an arithmetic number, because the mean of its divisors is an integer number (6752146449204).

Almost surely, 2^{112101201122121} is an apocalyptic number.

It is an amenable number.

112101201122121 is a deficient number, since it is larger than the sum of its proper divisors (49950313658775).

112101201122121 is a wasteful number, since it uses less digits than its factorization.

112101201122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270133 (or 1270130 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112101201122121 its reverse (121221102101211), we get a palindrome (233322303223332).

The spelling of 112101201122121 in words is "one hundred twelve trillion, one hundred one billion, two hundred one million, one hundred twenty-two thousand, one hundred twenty-one".