210112102212201 has 160 divisors (see below), whose sum is σ = 390641507942400. Its totient is φ = 109813715383680.

The previous prime is 210112102212193. The next prime is 210112102212223. The reversal of 210112102212201 is 102212201211012.

210112102212201 is a `hidden beast` number, since 2 + 1 + 0 + 11 + 210 + 221 + 220 + 1 = 666.

It is not a de Polignac number, because 210112102212201 - 2³ = 210112102212193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (210112102212101) 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 159 ways as a sum of consecutive naturals, for example, 5805627016 + ... + 5805663206.

It is an arithmetic number, because the mean of its divisors is an integer number (2441509424640).

Almost surely, 2^{210112102212201} is an apocalyptic number.

210112102212201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210112102212201 is a deficient number, since it is larger than the sum of its proper divisors (180529405730199).

210112102212201 is a wasteful number, since it uses less digits than its factorization.

210112102212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54841 (or 54832 counting only the distinct ones).

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

Adding to 210112102212201 its reverse (102212201211012), we get a palindrome (312324303423213).

The spelling of 210112102212201 in words is "two hundred ten trillion, one hundred twelve billion, one hundred two million, two hundred twelve thousand, two hundred one".