10012001020001 has 4 divisors (see below), whose sum is σ = 10012011622404. Its totient is φ = 10011990417600.

The previous prime is 10012001019953. The next prime is 10012001020039. The reversal of 10012001020001 is 10002010021001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 9589272189025 + 422728830976 = 3096655^2 + 650176^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012001020001 - 2²² = 10011996825697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10012001020051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3729380 + ... + 5825141.

It is an arithmetic number, because the mean of its divisors is an integer number (2503002905601).

Almost surely, 2^{10012001020001} is an apocalyptic number.

It is an amenable number.

10012001020001 is a deficient number, since it is larger than the sum of its proper divisors (10602403).

10012001020001 is an equidigital number, since it uses as much as digits as its factorization.

10012001020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10602402.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10012001020001 its reverse (10002010021001), we get a palindrome (20014011041002).

The spelling of 10012001020001 in words is "ten trillion, twelve billion, one million, twenty thousand, one".