212105116301 has 8 divisors (see below), whose sum is σ = 228603795000. Its totient is φ = 195632566272.

The previous prime is 212105116273. The next prime is 212105116303. The reversal of 212105116301 is 103611501212.

212105116301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6804600100 + 205300516201 = 82490^2 + 453101^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 212105116301 - 2²² = 212100921997 is a prime.

It is a super-2 number, since 2×212105116301² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212105116303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6515300 + ... + 6547773.

It is an arithmetic number, because the mean of its divisors is an integer number (28575474375).

Almost surely, 2^212105116301 is an apocalyptic number.

It is an amenable number.

212105116301 is a deficient number, since it is larger than the sum of its proper divisors (16498678699).

212105116301 is a wasteful number, since it uses less digits than its factorization.

212105116301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13064335.

The product of its (nonzero) digits is 360, while the sum is 23.

Adding to 212105116301 its reverse (103611501212), we get a palindrome (315716617513).

The spelling of 212105116301 in words is "two hundred twelve billion, one hundred five million, one hundred sixteen thousand, three hundred one".