200211001000100 has 144 divisors (see below), whose sum is σ = 458934215663616. Its totient is φ = 75693408336000.

The previous prime is 200211001000013. The next prime is 200211001000151. The reversal of 200211001000100 is 1000100112002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2288317355 + ... + 2288404845.

Almost surely, 2^{200211001000100} is an apocalyptic number.

200211001000100 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 200211001000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229467107831808).

200211001000100 is an abundant number, since it is smaller than the sum of its proper divisors (258723214663516).

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

200211001000100 is a wasteful number, since it uses less digits than its factorization.

200211001000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104746 (or 104739 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 200211001000100 its reverse (1000100112002), we get a palindrome (201211101112102).

The spelling of 200211001000100 in words is "two hundred trillion, two hundred eleven billion, one million, one hundred", and thus it is an aban number.