10002010212001 has 4 divisors (see below), whose sum is σ = 10002019998100. Its totient is φ = 10002000425904.

The previous prime is 10002010211989. The next prime is 10002010212023. The reversal of 10002010212001 is 10021201020001.

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 4351291700625 + 5650718511376 = 2085975^2 + 2377124^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002010212001 - 2²³ = 10002001823393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002010212031) 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, 3153906 + ... + 5472763.

It is an arithmetic number, because the mean of its divisors is an integer number (2500504999525).

Almost surely, 2^{10002010212001} is an apocalyptic number.

It is an amenable number.

10002010212001 is a deficient number, since it is larger than the sum of its proper divisors (9786099).

10002010212001 is an equidigital number, since it uses as much as digits as its factorization.

10002010212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9786098.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10002010212001 its reverse (10021201020001), we get a palindrome (20023211232002).

The spelling of 10002010212001 in words is "ten trillion, two billion, ten million, two hundred twelve thousand, one".