42112001 has 2 divisors, whose sum is σ = 42112002. Its totient is φ = 42112000.

The previous prime is 42111997. The next prime is 42112061. The reversal of 42112001 is 10021124.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41473600 + 638401 = 6440^2 + 799^2 .

It is a cyclic number.

It is not a de Polignac number, because 42112001 - 2² = 42111997 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (42112061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21056000 + 21056001.

It is an arithmetic number, because the mean of its divisors is an integer number (21056001).

Almost surely, 2^42112001 is an apocalyptic number.

It is an amenable number.

42112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

42112001 is an equidigital number, since it uses as much as digits as its factorization.

42112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 42112001 is about 6489.3760100644. The cubic root of 42112001 is about 347.9113731459.

Adding to 42112001 its reverse (10021124), we get a palindrome (52133125).

The spelling of 42112001 in words is "forty-two million, one hundred twelve thousand, one".