10002100012001 has 2 divisors, whose sum is σ = 10002100012002. Its totient is φ = 10002100012000.

The previous prime is 10002100011997. The next prime is 10002100012027. The reversal of 10002100012001 is 10021000120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10001083677601 + 1016334400 = 3162449^2 + 31880^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002100012001 - 2² = 10002100011997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10002100012001.

It is not a weakly prime, because it can be changed into another prime (10002100012031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001050006000 + 5001050006001.

It is an arithmetic number, because the mean of its divisors is an integer number (5001050006001).

Almost surely, 2^{10002100012001} is an apocalyptic number.

It is an amenable number.

10002100012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002100012001 is an equidigital number, since it uses as much as digits as its factorization.

10002100012001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10002100012001 its reverse (10021000120001), we get a palindrome (20023100132002).

The spelling of 10002100012001 in words is "ten trillion, two billion, one hundred million, twelve thousand, one".