1010001 has 4 divisors (see below), whose sum is σ = 1346672. Its totient is φ = 673332.

The previous prime is 1009997. The next prime is 1010003. The reversal of 1010001 is 1000101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 1000101 = 3 ⋅333367.

It is not a de Polignac number, because 1010001 - 2² = 1009997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3), and also a Moran number because the ratio is a prime number: 336667 = 1010001 / (1 + 0 + 1 + 0 + 0 + 0 + 1).

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1010003) 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 in 3 ways as a sum of consecutive naturals, for example, 168331 + ... + 168336.

It is an arithmetic number, because the mean of its divisors is an integer number (336668).

2^1010001 is an apocalyptic number.

It is an amenable number.

1010001 is a deficient number, since it is larger than the sum of its proper divisors (336671).

1010001 is an equidigital number, since it uses as much as digits as its factorization.

1010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336670.

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 1010001 is about 1004.9880596306. The cubic root of 1010001 is about 100.3322614671.

Adding to 1010001 its reverse (1000101), we get a palindrome (2010102).

Multiplying 1010001 by its reverse (1000101), we get a palindrome (1010103010101).

It can be divided in two parts, 10 and 10001, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 1010001 in words is "one million, ten thousand, one".