2002020210101 has 12 divisors (see below), whose sum is σ = 2059251365100. Its totient is φ = 1946273218560.

The previous prime is 2002020210077. The next prime is 2002020210107. The reversal of 2002020210101 is 1010120202002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1167037287025 + 834982923076 = 1080295^2 + 913774^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2002020210101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002020210107) 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, 2712140 + ... + 3370421.

It is an arithmetic number, because the mean of its divisors is an integer number (171604280425).

Almost surely, 2^{2002020210101} is an apocalyptic number.

It is an amenable number.

2002020210101 is a deficient number, since it is larger than the sum of its proper divisors (57231154999).

2002020210101 is an equidigital number, since it uses as much as digits as its factorization.

2002020210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6082804 (or 6082757 counting only the distinct ones).

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

Adding to 2002020210101 its reverse (1010120202002), we get a palindrome (3012140412103).

The spelling of 2002020210101 in words is "two trillion, two billion, twenty million, two hundred ten thousand, one hundred one".