2211101012200 has 96 divisors (see below), whose sum is σ = 5158185491160. Its totient is φ = 881453260800.

The previous prime is 2211101012149. The next prime is 2211101012203. The reversal of 2211101012200 is 22101011122.

2211101012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 61645937796 + 2149455074404 = 248286^2 + 1466102^2 .

It is not an unprimeable number, because it can be changed into a prime (2211101012203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214394244 + ... + 214404556.

Almost surely, 2^{2211101012200} is an apocalyptic number.

2211101012200 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 2211101012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579092745580).

2211101012200 is an abundant number, since it is smaller than the sum of its proper divisors (2947084478960).

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

2211101012200 is a wasteful number, since it uses less digits than its factorization.

2211101012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13847 (or 13838 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2211101012200 its reverse (22101011122), we get a palindrome (2233202023322).

The spelling of 2211101012200 in words is "two trillion, two hundred eleven billion, one hundred one million, twelve thousand, two hundred".