10010001000001 has 8 divisors (see below), whose sum is σ = 10081065950208. Its totient is φ = 9938998860000.

The previous prime is 10010000999987. The next prime is 10010001000059. The reversal of 10010001000001 is 10000010001001.

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 10010001000001 - 2²³ = 10009992611393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010001040001) 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, 15382660 + ... + 16020181.

It is an arithmetic number, because the mean of its divisors is an integer number (1260133243776).

Almost surely, 2^{10010001000001} is an apocalyptic number.

It is an amenable number.

10010001000001 is a deficient number, since it is larger than the sum of its proper divisors (71064950207).

10010001000001 is a wasteful number, since it uses less digits than its factorization.

10010001000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31405103.

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

Adding to 10010001000001 its reverse (10000010001001), we get a palindrome (20010011001002).

The spelling of 10010001000001 in words is "ten trillion, ten billion, one million, one", and thus it is an aban number and an uban number.