2211320200100 has 72 divisors (see below), whose sum is σ = 5236917815808. Its totient is φ = 803790812800.

The previous prime is 2211320200099. The next prime is 2211320200109. The reversal of 2211320200100 is 10020231122.

It is a happy number.

2211320200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2211320200109) 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, 2318909 + ... + 3130491.

It is an arithmetic number, because the mean of its divisors is an integer number (72734969664).

Almost surely, 2^{2211320200100} is an apocalyptic number.

2211320200100 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 2211320200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618458907904).

2211320200100 is an abundant number, since it is smaller than the sum of its proper divisors (3025597615708).

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

2211320200100 is a wasteful number, since it uses less digits than its factorization.

2211320200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814085 (or 814078 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2211320200100 its reverse (10020231122), we get a palindrome (2221340431222).

The spelling of 2211320200100 in words is "two trillion, two hundred eleven billion, three hundred twenty million, two hundred thousand, one hundred".