202200201000 has 384 divisors, whose sum is σ = 790501420800. Its totient is φ = 45659174400.

The previous prime is 202200200987. The next prime is 202200201023. The reversal of 202200201000 is 102002202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5209666 + ... + 5248334.

It is an arithmetic number, because the mean of its divisors is an integer number (2058597450).

Almost surely, 2^202200201000 is an apocalyptic number.

202200201000 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 202200201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395250710400).

202200201000 is an abundant number, since it is smaller than the sum of its proper divisors (588301219800).

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

202200201000 is a wasteful number, since it uses less digits than its factorization.

202200201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38786 (or 38769 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 202200201000 its reverse (102002202), we get a palindrome (202302203202).

The spelling of 202200201000 in words is "two hundred two billion, two hundred million, two hundred one thousand".