112102210000121 has 16 divisors (see below), whose sum is σ = 122400950890176. Its totient is φ = 101821412160000.

The previous prime is 112102210000043. The next prime is 112102210000133. The reversal of 112102210000121 is 121000012201211.

It is a cyclic number.

It is not a de Polignac number, because 112102210000121 - 2¹⁰ = 112102209999097 is a prime.

It is a super-3 number, since 3×112102210000121³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 112102210000096 and 112102210000105.

It is not an unprimeable number, because it can be changed into a prime (112102210006121) 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, 628001201 + ... + 628179681.

It is an arithmetic number, because the mean of its divisors is an integer number (7650059430636).

Almost surely, 2^{112102210000121} is an apocalyptic number.

112102210000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112102210000121 is a deficient number, since it is larger than the sum of its proper divisors (10298740890055).

112102210000121 is a wasteful number, since it uses less digits than its factorization.

112102210000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228424.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112102210000121 its reverse (121000012201211), we get a palindrome (233102222201332).

The spelling of 112102210000121 in words is "one hundred twelve trillion, one hundred two billion, two hundred ten million, one hundred twenty-one", and thus it is an aban number.