1001010001 has 8 divisors (see below), whose sum is σ = 1004112704. Its totient is φ = 997913520.

The previous prime is 1001009987. The next prime is 1001010011. The reversal of 1001010001 is 1000101001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001010001 - 2²⁵ = 967455569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001010011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 691060 + ... + 692506.

It is an arithmetic number, because the mean of its divisors is an integer number (125514088).

Almost surely, 2^1001010001 is an apocalyptic number.

It is an amenable number.

1001010001 is a deficient number, since it is larger than the sum of its proper divisors (3102703).

1001010001 is an equidigital number, since it uses as much as digits as its factorization.

1001010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111.

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 1001010001 is about 31638.7420894068. The cubic root of 1001010001 is about 1000.3365537189.

Adding to 1001010001 its reverse (1000101001), we get a palindrome (2001111002).

It can be divided in two parts, 100101000 and 1, that added together give a palindrome (100101001).

The spelling of 1001010001 in words is "one billion, one million, ten thousand, one".