2002010002101 has 24 divisors (see below), whose sum is σ = 3044250984320. Its totient is φ = 1264319715456.

The previous prime is 2002010002093. The next prime is 2002010002117. The reversal of 2002010002101 is 1012000102002.

It is not a de Polignac number, because 2002010002101 - 2³ = 2002010002093 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002010002801) 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 23 ways as a sum of consecutive naturals, for example, 1540221 + ... + 2525133.

Almost surely, 2^{2002010002101} is an apocalyptic number.

It is an amenable number.

2002010002101 is a deficient number, since it is larger than the sum of its proper divisors (1042240982219).

2002010002101 is a wasteful number, since it uses less digits than its factorization.

2002010002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996825 (or 996822 counting only the distinct ones).

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

Adding to 2002010002101 its reverse (1012000102002), we get a palindrome (3014010104103).

Subtracting from 2002010002101 its reverse (1012000102002), we obtain a palindrome (990009900099).

The spelling of 2002010002101 in words is "two trillion, two billion, ten million, two thousand, one hundred one".