42100001 has 2 divisors, whose sum is σ = 42100002. Its totient is φ = 42100000.

The previous prime is 42099977. The next prime is 42100013. The reversal of 42100001 is 10000124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27667600 + 14432401 = 5260^2 + 3799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42100001 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (42100031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21050000 + 21050001.

It is an arithmetic number, because the mean of its divisors is an integer number (21050001).

Almost surely, 2^42100001 is an apocalyptic number.

It is an amenable number.

42100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

42100001 is an equidigital number, since it uses as much as digits as its factorization.

42100001 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 8.

The square root of 42100001 is about 6488.4513560633. The cubic root of 42100001 is about 347.8783237142.

Adding to 42100001 its reverse (10000124), we get a palindrome (52100125).

The spelling of 42100001 in words is "forty-two million, one hundred thousand, one".