200202101002002 has 64 divisors (see below), whose sum is σ = 442842552028800. Its totient is φ = 59828900659200.

The previous prime is 200202101001953. The next prime is 200202101002019. The reversal of 200202101002002 is 200200101202002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36773874 + ... + 41865522.

It is an arithmetic number, because the mean of its divisors is an integer number (6919414875450).

Almost surely, 2^{200202101002002} is an apocalyptic number.

200202101002002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200202101002002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221421276014400).

200202101002002 is an abundant number, since it is smaller than the sum of its proper divisors (242640451026798).

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

200202101002002 is a wasteful number, since it uses less digits than its factorization.

200202101002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099899.

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

Adding to 200202101002002 its reverse (200200101202002), we get a palindrome (400402202204004).

The spelling of 200202101002002 in words is "two hundred trillion, two hundred two billion, one hundred one million, two thousand, two".