200201023000 has 256 divisors, whose sum is σ = 517536190080. Its totient is φ = 71884800000.

The previous prime is 200201022977. The next prime is 200201023013. The reversal of 200201023000 is 320102002.

200201023000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×200201023000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384262740 + ... + 384263260.

Almost surely, 2^200201023000 is an apocalyptic number.

200201023000 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 200201023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258768095040).

200201023000 is an abundant number, since it is smaller than the sum of its proper divisors (317335167080).

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

200201023000 is a wasteful number, since it uses less digits than its factorization.

200201023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 200201023000 its reverse (320102002), we get a palindrome (200521125002).

The spelling of 200201023000 in words is "two hundred billion, two hundred one million, twenty-three thousand".