112102012122201 has 12 divisors (see below), whose sum is σ = 163528347717540. Its totient is φ = 73994727472800.

The previous prime is 112102012122193. The next prime is 112102012122203. The reversal of 112102012122201 is 102221210201211.

112102012122201 is a `hidden beast` number, since 1 + 1 + 210 + 20 + 1 + 212 + 220 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99600300200025 + 12501711922176 = 9979995^2 + 3535776^2 .

It is not a de Polignac number, because 112102012122201 - 2³ = 112102012122193 is a prime.

It is a super-2 number, since 2×112102012122201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112102012122203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61662271986 + ... + 61662273803.

It is an arithmetic number, because the mean of its divisors is an integer number (13627362309795).

Almost surely, 2^{112102012122201} is an apocalyptic number.

It is an amenable number.

112102012122201 is a deficient number, since it is larger than the sum of its proper divisors (51426335595339).

112102012122201 is a wasteful number, since it uses less digits than its factorization.

112102012122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123324545896 (or 123324545893 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112102012122201 its reverse (102221210201211), we get a palindrome (214323222323412).

The spelling of 112102012122201 in words is "one hundred twelve trillion, one hundred two billion, twelve million, one hundred twenty-two thousand, two hundred one".