201200211001000 has 128 divisors (see below), whose sum is σ = 471765322828800. Its totient is φ = 80316584275200.

The previous prime is 201200211000949. The next prime is 201200211001001. The reversal of 201200211001000 is 100112002102.

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

It is not an unprimeable number, because it can be changed into a prime (201200211001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2887578162 + ... + 2887647838.

It is an arithmetic number, because the mean of its divisors is an integer number (3685666584600).

Almost surely, 2^{201200211001000} is an apocalyptic number.

201200211001000 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 201200211001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235882661414400).

201200211001000 is an abundant number, since it is smaller than the sum of its proper divisors (270565111827800).

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

201200211001000 is a wasteful number, since it uses less digits than its factorization.

201200211001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75524 (or 75510 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201200211001000 its reverse (100112002102), we get a palindrome (201300323003102).

The spelling of 201200211001000 in words is "two hundred one trillion, two hundred billion, two hundred eleven million, one thousand".