2112122100301 has 2 divisors, whose sum is σ = 2112122100302. Its totient is φ = 2112122100300.

The previous prime is 2112122100227. The next prime is 2112122100317. The reversal of 2112122100301 is 1030012212112.

It is an a-pointer prime, because the next prime (2112122100317) can be obtained adding 2112122100301 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1899738456100 + 212383644201 = 1378310^2 + 460851^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112122100301 - 2¹⁷ = 2112121969229 is a prime.

It is a super-2 number, since 2×2112122100301² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112122100391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056061050150 + 1056061050151.

It is an arithmetic number, because the mean of its divisors is an integer number (1056061050151).

Almost surely, 2^{2112122100301} is an apocalyptic number.

It is an amenable number.

2112122100301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112122100301 is an equidigital number, since it uses as much as digits as its factorization.

2112122100301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2112122100301 its reverse (1030012212112), we get a palindrome (3142134312413).

The spelling of 2112122100301 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred thousand, three hundred one".