112102112012121 has 96 divisors (see below), whose sum is σ = 215656017984000. Its totient is φ = 56880563916960.

The previous prime is 112102112012101. The next prime is 112102112012141. The reversal of 112102112012121 is 121210211201211.

It is a happy number.

112102112012121 is a `hidden beast` number, since 1 + 1 + 210 + 211 + 201 + 21 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (112102112012101) and next prime (112102112012141).

It is not a de Polignac number, because 112102112012121 - 2¹⁷ = 112102111881049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112102112012094 and 112102112012103.

It is not an unprimeable number, because it can be changed into a prime (112102112012101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88944271 + ... + 90195828.

It is an arithmetic number, because the mean of its divisors is an integer number (2246416854000).

Almost surely, 2^{112102112012121} is an apocalyptic number.

112102112012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112102112012121 is a deficient number, since it is larger than the sum of its proper divisors (103553905971879).

112102112012121 is a wasteful number, since it uses less digits than its factorization.

112102112012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179140176 (or 179140163 counting only the distinct ones).

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

Adding to 112102112012121 its reverse (121210211201211), we get a palindrome (233312323213332).

The spelling of 112102112012121 in words is "one hundred twelve trillion, one hundred two billion, one hundred twelve million, twelve thousand, one hundred twenty-one".