10020210202002 has 384 divisors, whose sum is σ = 27871515205632. Its totient is φ = 2335208071680.

The previous prime is 10020210201977. The next prime is 10020210202007. The reversal of 10020210202002 is 20020201202001.

It is a super-2 number, since 2×10020210202002² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10020210202007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4857105223 + ... + 4857107285.

It is an arithmetic number, because the mean of its divisors is an integer number (72582070848).

Almost surely, 2^{10020210202002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020210202002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13935757602816).

10020210202002 is an abundant number, since it is smaller than the sum of its proper divisors (17851305003630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10020210202002 is a wasteful number, since it uses less digits than its factorization.

10020210202002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10020210202002 its reverse (20020201202001), we get a palindrome (30040411404003).

Subtracting 10020210202002 from its reverse (20020201202001), we obtain a palindrome (9999990999999).

The spelling of 10020210202002 in words is "ten trillion, twenty billion, two hundred ten million, two hundred two thousand, two".