10000001001 has 16 divisors (see below), whose sum is σ = 14123096064. Its totient is φ = 6272089344.

The previous prime is 10000000999. The next prime is 10000001041. The reversal of 10000001001 is 10010000001.

It is not a de Polignac number, because 10000001001 - 2¹ = 10000000999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is not an unprimeable number, because it can be changed into a prime (10000001041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100551 + ... + 173523.

It is an arithmetic number, because the mean of its divisors is an integer number (882693504).

Almost surely, 2^10000001001 is an apocalyptic number.

It is an amenable number.

10000001001 is a deficient number, since it is larger than the sum of its proper divisors (4123095063).

10000001001 is a wasteful number, since it uses less digits than its factorization.

10000001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75680.

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

Adding to 10000001001 its reverse (10010000001), we get a palindrome (20010001002).

It can be divided in two parts, 1000000 and 1001, that added together give a palindrome (1001001).

The spelling of 10000001001 in words is "ten billion, one thousand, one".