112200212201 has 36 divisors (see below), whose sum is σ = 145814925060. Its totient is φ = 85995201600.

The previous prime is 112200212167. The next prime is 112200212219. The reversal of 112200212201 is 102212002211.

It can be written as a sum of positive squares in 2 ways, for example, as 1960275625 + 110239936576 = 44275^2 + 332024^2 .

It is not a de Polignac number, because 112200212201 - 2¹⁴ = 112200195817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112200212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 206555 + ... + 516783.

It is an arithmetic number, because the mean of its divisors is an integer number (4050414585).

Almost surely, 2^112200212201 is an apocalyptic number.

112200212201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112200212201 is a deficient number, since it is larger than the sum of its proper divisors (33614712859).

112200212201 is a wasteful number, since it uses less digits than its factorization.

112200212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310326 (or 310308 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112200212201 its reverse (102212002211), we get a palindrome (214412214412).

The spelling of 112200212201 in words is "one hundred twelve billion, two hundred million, two hundred twelve thousand, two hundred one".