2002010212001 has 8 divisors (see below), whose sum is σ = 2036838831144. Its totient is φ = 1967246392320.

The previous prime is 2002010211977. The next prime is 2002010212021. The reversal of 2002010212001 is 1002120102002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 286225 + 2002009925776 = 535^2 + 1414924^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2002010212001 - 2³⁰ = 2000936470177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2002010212021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16137536 + ... + 16261121.

It is an arithmetic number, because the mean of its divisors is an integer number (254604853893).

Almost surely, 2^{2002010212001} is an apocalyptic number.

It is an amenable number.

2002010212001 is a deficient number, since it is larger than the sum of its proper divisors (34828619143).

2002010212001 is a wasteful number, since it uses less digits than its factorization.

2002010212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32399731.

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

Adding to 2002010212001 its reverse (1002120102002), we get a palindrome (3004130314003).

The spelling of 2002010212001 in words is "two trillion, two billion, ten million, two hundred twelve thousand, one".