2002011000221 has 16 divisors (see below), whose sum is σ = 2048277034800. Its totient is φ = 1956076482048.

The previous prime is 2002011000173. The next prime is 2002011000229. The reversal of 2002011000221 is 1220001102002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 309123768121 + 1692887232100 = 555989^2 + 1301110^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002011000221 - 2³⁴ = 1984831131037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002011000229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12247295 + ... + 12409683.

It is an arithmetic number, because the mean of its divisors is an integer number (128017314675).

Almost surely, 2^{2002011000221} is an apocalyptic number.

It is an amenable number.

2002011000221 is a deficient number, since it is larger than the sum of its proper divisors (46266034579).

2002011000221 is a wasteful number, since it uses less digits than its factorization.

2002011000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163408.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2002011000221 its reverse (1220001102002), we get a palindrome (3222012102223).

The spelling of 2002011000221 in words is "two trillion, two billion, eleven million, two hundred twenty-one", and thus it is an aban number.