10042001 has 2 divisors, whose sum is σ = 10042002. Its totient is φ = 10042000.

The previous prime is 10041949. The next prime is 10042009. The reversal of 10042001 is 10024001.

It is an a-pointer prime, because the next prime (10042009) can be obtained adding 10042001 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6507601 + 3534400 = 2551^2 + 1880^2 .

It is a cyclic number.

It is not a de Polignac number, because 10042001 - 2¹⁸ = 9779857 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10042001.

It is not a weakly prime, because it can be changed into another prime (10042009) 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, 5021000 + 5021001.

It is an arithmetic number, because the mean of its divisors is an integer number (5021001).

Almost surely, 2^10042001 is an apocalyptic number.

It is an amenable number.

10042001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10042001 is an equidigital number, since it uses as much as digits as its factorization.

10042001 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 10042001 is about 3168.9116428200. The cubic root of 10042001 is about 215.7446757345.

Adding to 10042001 its reverse (10024001), we get a palindrome (20066002).

The spelling of 10042001 in words is "ten million, forty-two thousand, one".