2001210000001 has 2 divisors, whose sum is σ = 2001210000002. Its totient is φ = 2001210000000.

The previous prime is 2001209999989. The next prime is 2001210000007. The reversal of 2001210000001 is 1000000121002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1040808040000 + 960401960001 = 1020200^2 + 980001^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001210000001 - 2¹⁷ = 2001209868929 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001210000007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000605000000 + 1000605000001.

It is an arithmetic number, because the mean of its divisors is an integer number (1000605000001).

Almost surely, 2^{2001210000001} is an apocalyptic number.

It is an amenable number.

2001210000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001210000001 is an equidigital number, since it uses as much as digits as its factorization.

2001210000001 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 7.

Adding to 2001210000001 its reverse (1000000121002), we get a palindrome (3001210121003).

The spelling of 2001210000001 in words is "two trillion, one billion, two hundred ten million, one", and thus it is an aban number.