202001022000 has 480 divisors, whose sum is σ = 730709231616. Its totient is φ = 51955776000.

The previous prime is 202001021987. The next prime is 202001022001. The reversal of 202001022000 is 220100202.

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

It is not an unprimeable number, because it can be changed into a prime (202001022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 314153679 + ... + 314154321.

Almost surely, 2^202001022000 is an apocalyptic number.

202001022000 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 202001022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365354615808).

202001022000 is an abundant number, since it is smaller than the sum of its proper divisors (528708209616).

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

202001022000 is a wasteful number, since it uses less digits than its factorization.

202001022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1247 counting only the distinct ones).

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

Adding to 202001022000 its reverse (220100202), we get a palindrome (202221122202).

The spelling of 202001022000 in words is "two hundred two billion, one million, twenty-two thousand".