202002000200000 has 4032 divisors, whose sum is σ = 742185264602880. Its totient is φ = 53415936000000.

The previous prime is 202002000199897. The next prime is 202002000200041. The reversal of 202002000200000 is 2000200202.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1453251799931 + ... + 1453251800069.

It is an arithmetic number, because the mean of its divisors is an integer number (184073726340).

Almost surely, 2^{202002000200000} is an apocalyptic number.

202002000200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202002000200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371092632301440).

202002000200000 is an abundant number, since it is smaller than the sum of its proper divisors (540183264402880).

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

202002000200000 is a wasteful number, since it uses less digits than its factorization.

202002000200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 202002000200000 its reverse (2000200202), we get a palindrome (202004000400202).

The spelling of 202002000200000 in words is "two hundred two trillion, two billion, two hundred thousand".