212102012120201 has 12 divisors (see below), whose sum is σ = 246732420693780. Its totient is φ = 181800613048320.

The previous prime is 212102012120149. The next prime is 212102012120203. The reversal of 212102012120201 is 102021210201212.

It can be written as a sum of positive squares in 2 ways, for example, as 66810352537600 + 145291659582601 = 8173760^2 + 12053699^2 .

It is a de Polignac number, because none of the positive numbers 2^k-212102012120201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212102012120201.

It is not an unprimeable number, because it can be changed into a prime (212102012120203) 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 11 ways as a sum of consecutive naturals, for example, 5087480 + ... + 21215241.

It is an arithmetic number, because the mean of its divisors is an integer number (20561035057815).

Almost surely, 2^{212102012120201} is an apocalyptic number.

It is an amenable number.

212102012120201 is a deficient number, since it is larger than the sum of its proper divisors (34630408573579).

212102012120201 is a wasteful number, since it uses less digits than its factorization.

212102012120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26467304 (or 26467297 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212102012120201 its reverse (102021210201212), we get a palindrome (314123222321413).

The spelling of 212102012120201 in words is "two hundred twelve trillion, one hundred two billion, twelve million, one hundred twenty thousand, two hundred one".