1012012000201 has 2 divisors, whose sum is σ = 1012012000202. Its totient is φ = 1012012000200.

The previous prime is 1012012000189. The next prime is 1012012000213. The reversal of 1012012000201 is 1020002102101.

It is a balanced prime because it is at equal distance from previous prime (1012012000189) and next prime (1012012000213).

It can be written as a sum of positive squares in only one way, i.e., 842630366601 + 169381633600 = 917949^2 + 411560^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012012000201 - 2¹⁵ = 1012011967433 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012012000001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506006000100 + 506006000101.

It is an arithmetic number, because the mean of its divisors is an integer number (506006000101).

Almost surely, 2^{1012012000201} is an apocalyptic number.

It is an amenable number.

1012012000201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012012000201 is an equidigital number, since it uses as much as digits as its factorization.

1012012000201 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1012012000201 its reverse (1020002102101), we get a palindrome (2032014102302).

The spelling of 1012012000201 in words is "one trillion, twelve billion, twelve million, two hundred one", and thus it is an aban number.