410121001 has 2 divisors, whose sum is σ = 410121002. Its totient is φ = 410121000.

The previous prime is 410120999. The next prime is 410121017. The reversal of 410121001 is 100121014.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 254370601 + 155750400 = 15949^2 + 12480^2 .

It is a cyclic number.

It is not a de Polignac number, because 410121001 - 2¹ = 410120999 is a prime.

It is a super-2 number, since 2×410121001² = 336398470922484002, which contains 22 as substring.

Together with 410120999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (410121031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 205060500 + 205060501.

It is an arithmetic number, because the mean of its divisors is an integer number (205060501).

Almost surely, 2^410121001 is an apocalyptic number.

It is an amenable number.

410121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

410121001 is an equidigital number, since it uses as much as digits as its factorization.

410121001 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 410121001 is about 20251.4444176212. Note that the first 4 decimals coincide. The cubic root of 410121001 is about 742.9689591880.

Adding to 410121001 its reverse (100121014), we get a palindrome (510242015).

The spelling of 410121001 in words is "four hundred ten million, one hundred twenty-one thousand, one".