212112201100301 has 2 divisors, whose sum is σ = 212112201100302. Its totient is φ = 212112201100300.

The previous prime is 212112201100249. The next prime is 212112201100307. The reversal of 212112201100301 is 103001102211212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209588567026276 + 2523634074025 = 14477174^2 + 1588595^2 .

It is a cyclic number.

It is not a de Polignac number, because 212112201100301 - 2²² = 212112196905997 is a prime.

It is a super-2 number, since 2×212112201100301² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 212112201100301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212112201100307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106056100550150 + 106056100550151.

It is an arithmetic number, because the mean of its divisors is an integer number (106056100550151).

Almost surely, 2^{212112201100301} is an apocalyptic number.

It is an amenable number.

212112201100301 is a deficient number, since it is larger than the sum of its proper divisors (1).

212112201100301 is an equidigital number, since it uses as much as digits as its factorization.

212112201100301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 212112201100301 its reverse (103001102211212), we get a palindrome (315113303311513).

The spelling of 212112201100301 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred one million, one hundred thousand, three hundred one".