8000101 has 2 divisors, whose sum is σ = 8000102. Its totient is φ = 8000100.

The previous prime is 8000099. The next prime is 8000117. The reversal of 8000101 is 1010008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4955076 + 3045025 = 2226^2 + 1745^2 .

It is a cyclic number.

It is not a de Polignac number, because 8000101 - 2¹ = 8000099 is a prime.

Together with 8000099, it forms a pair of twin primes.

8000101 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8000141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4000050 + 4000051.

It is an arithmetic number, because the mean of its divisors is an integer number (4000051).

Almost surely, 2^8000101 is an apocalyptic number.

It is an amenable number.

8000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

8000101 is an equidigital number, since it uses as much as digits as its factorization.

8000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 8000101 is about 2828.4449791361. Note that the first 3 decimals coincide. The cubic root of 8000101 is about 200.0008416631. Note that the first 3 decimals are identical.

Adding to 8000101 its reverse (1010008), we get a palindrome (9010109).

The spelling of 8000101 in words is "eight million, one hundred one", and thus it is an aban number.