2002100210001 has 12 divisors (see below), whose sum is σ = 2902918432128. Its totient is φ = 1329658439544.

The previous prime is 2002100209891. The next prime is 2002100210039. The reversal of 2002100210001 is 1000120012002.

It is not a de Polignac number, because 2002100210001 - 2⁷ = 2002100209873 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 (2002100250001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 422916985 + ... + 422921718.

It is an arithmetic number, because the mean of its divisors is an integer number (241909869344).

Almost surely, 2^{2002100210001} is an apocalyptic number.

It is an amenable number.

2002100210001 is a deficient number, since it is larger than the sum of its proper divisors (900818222127).

2002100210001 is a wasteful number, since it uses less digits than its factorization.

2002100210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845838972 (or 845838969 counting only the distinct ones).

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

Adding to 2002100210001 its reverse (1000120012002), we get a palindrome (3002220222003).

The spelling of 2002100210001 in words is "two trillion, two billion, one hundred million, two hundred ten thousand, one".