10001002001 has 4 divisors (see below), whose sum is σ = 10113372900. Its totient is φ = 9888631104.

The previous prime is 10001001991. The next prime is 10001002009. The reversal of 10001002001 is 10020010001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1999878400 + 8001123601 = 44720^2 + 89449^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001002001 - 2¹⁸ = 10000739857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001002009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56185316 + ... + 56185493.

It is an arithmetic number, because the mean of its divisors is an integer number (2528343225).

Almost surely, 2^10001002001 is an apocalyptic number.

It is an amenable number.

10001002001 is a deficient number, since it is larger than the sum of its proper divisors (112370899).

10001002001 is an equidigital number, since it uses as much as digits as its factorization.

10001002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112370898.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10001002001 its reverse (10020010001), we get a palindrome (20021012002).

It can be divided in two parts, 1000 and 1002001, that added together give a palindrome (1003001).

The spelling of 10001002001 in words is "ten billion, one million, two thousand, one".