10010000212001 has 2 divisors, whose sum is σ = 10010000212002. Its totient is φ = 10010000212000.

The previous prime is 10010000211947. The next prime is 10010000212033. The reversal of 10010000212001 is 10021200001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9362376040000 + 647624172001 = 3059800^2 + 804751^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010000212001 - 2¹⁸ = 10009999949857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010000212001.

It is not a weakly prime, because it can be changed into another prime (10010000212301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005000106000 + 5005000106001.

It is an arithmetic number, because the mean of its divisors is an integer number (5005000106001).

Almost surely, 2^{10010000212001} is an apocalyptic number.

It is an amenable number.

10010000212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010000212001 is an equidigital number, since it uses as much as digits as its factorization.

10010000212001 is an evil number, because the sum of its binary digits is even.

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

Adding to 10010000212001 its reverse (10021200001001), we get a palindrome (20031200213002).

The spelling of 10010000212001 in words is "ten trillion, ten billion, two hundred twelve thousand, one".