1002012000201 has 10 divisors (see below), whose sum is σ = 1496832741162. Its totient is φ = 668008000080.

The previous prime is 1002012000169. The next prime is 1002012000221. The reversal of 1002012000201 is 1020002102001.

It can be written as a sum of positive squares in only one way, i.e., 1000250015625 + 1761984576 = 1000125^2 + 41976^2 .

It is not a de Polignac number, because 1002012000201 - 2⁵ = 1002012000169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1002012000221) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6185259180 + ... + 6185259341.

Almost surely, 2^{1002012000201} is an apocalyptic number.

It is an amenable number.

1002012000201 is a deficient number, since it is larger than the sum of its proper divisors (494820740961).

1002012000201 is an equidigital number, since it uses as much as digits as its factorization.

1002012000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12370518533 (or 12370518524 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1002012000201 its reverse (1020002102001), we get a palindrome (2022014102202).

The spelling of 1002012000201 in words is "one trillion, two billion, twelve million, two hundred one", and thus it is an aban number.