2002010212101 has 32 divisors (see below), whose sum is σ = 2743592325120. Its totient is φ = 1298088792000.

The previous prime is 2002010212067. The next prime is 2002010212109. The reversal of 2002010212101 is 1012120102002.

It is not a de Polignac number, because 2002010212101 - 2³⁰ = 2000936470277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002010212109) 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 31 ways as a sum of consecutive naturals, for example, 19518651 + ... + 19620951.

It is an arithmetic number, because the mean of its divisors is an integer number (85737260160).

Almost surely, 2^{2002010212101} is an apocalyptic number.

It is an amenable number.

2002010212101 is a deficient number, since it is larger than the sum of its proper divisors (741582113019).

2002010212101 is a wasteful number, since it uses less digits than its factorization.

2002010212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103617.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2002010212101 its reverse (1012120102002), we get a palindrome (3014130314103).

The spelling of 2002010212101 in words is "two trillion, two billion, ten million, two hundred twelve thousand, one hundred one".