10002020002101 has 10 divisors (see below), whose sum is σ = 14941289139062. Its totient is φ = 6668013334680.

The previous prime is 10002020002057. The next prime is 10002020002193. The reversal of 10002020002101 is 10120002020001.

It can be written as a sum of positive squares in only one way, i.e., 9041176991025 + 960843011076 = 3006855^2 + 980226^2 .

It is not a de Polignac number, because 10002020002101 - 2¹⁷ = 10002019871029 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 Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002021002101) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 61740864130 + ... + 61740864291.

Almost surely, 2^{10002020002101} is an apocalyptic number.

It is an amenable number.

10002020002101 is a deficient number, since it is larger than the sum of its proper divisors (4939269136961).

10002020002101 is an equidigital number, since it uses as much as digits as its factorization.

10002020002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123481728433 (or 123481728424 counting only the distinct ones).

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

Adding to 10002020002101 its reverse (10120002020001), we get a palindrome (20122022022102).

The spelling of 10002020002101 in words is "ten trillion, two billion, twenty million, two thousand, one hundred one".