8412210101 has 2 divisors, whose sum is σ = 8412210102. Its totient is φ = 8412210100.

The previous prime is 8412210089. The next prime is 8412210139. The reversal of 8412210101 is 1010122148.

8412210101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8352132100 + 60078001 = 91390^2 + 7751^2 .

It is a cyclic number.

It is not a de Polignac number, because 8412210101 - 2¹⁰ = 8412209077 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8412210161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4206105050 + 4206105051.

It is an arithmetic number, because the mean of its divisors is an integer number (4206105051).

Almost surely, 2^8412210101 is an apocalyptic number.

It is an amenable number.

8412210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

8412210101 is an equidigital number, since it uses as much as digits as its factorization.

8412210101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 8412210101 is about 91718.1012723225. The cubic root of 8412210101 is about 2033.7771813985. Note that the first 3 decimals are identical.

Adding to 8412210101 its reverse (1010122148), we get a palindrome (9422332249).

The spelling of 8412210101 in words is "eight billion, four hundred twelve million, two hundred ten thousand, one hundred one".