200201111201000 has 768 divisors, whose sum is σ = 615679843484160. Its totient is φ = 59322787430400.

The previous prime is 200201111200921. The next prime is 200201111201009. The reversal of 200201111201000 is 102111102002.

200201111201000 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 2×200201111201000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200201111201009) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5075687279 + ... + 5075726721.

It is an arithmetic number, because the mean of its divisors is an integer number (801666462870).

Almost surely, 2^{200201111201000} is an apocalyptic number.

200201111201000 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 200201111201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307839921742080).

200201111201000 is an abundant number, since it is smaller than the sum of its proper divisors (415478732283160).

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

200201111201000 is a wasteful number, since it uses less digits than its factorization.

200201111201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39711 (or 39680 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 200201111201000 its reverse (102111102002), we get a palindrome (200303222303002).

The spelling of 200201111201000 in words is "two hundred trillion, two hundred one billion, one hundred eleven million, two hundred one thousand".