2002000210101 has 6 divisors (see below), whose sum is σ = 2891778081270. Its totient is φ = 1334666806728.

The previous prime is 2002000210099. The next prime is 2002000210123. The reversal of 2002000210101 is 1010120002002.

It can be written as a sum of positive squares in only one way, i.e., 1297835879076 + 704164331025 = 1139226^2 + 839145^2 .

It is not a de Polignac number, because 2002000210101 - 2¹ = 2002000210099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 222444467789 = 2002000210101 / (2 + 0 + 0 + 2 + 0 + 0 + 0 + 2 + 1 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002000212101) 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 5 ways as a sum of consecutive naturals, for example, 111222233886 + ... + 111222233903.

It is an arithmetic number, because the mean of its divisors is an integer number (481963013545).

Almost surely, 2^{2002000210101} is an apocalyptic number.

It is an amenable number.

2002000210101 is a deficient number, since it is larger than the sum of its proper divisors (889777871169).

2002000210101 is a wasteful number, since it uses less digits than its factorization.

2002000210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222444467795 (or 222444467792 counting only the distinct ones).

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

Adding to 2002000210101 its reverse (1010120002002), we get a palindrome (3012120212103).

The spelling of 2002000210101 in words is "two trillion, two billion, two hundred ten thousand, one hundred one".