2211201100200 has 576 divisors, whose sum is σ = 7343537572800. Its totient is φ = 550029312000.

The previous prime is 2211201100181. The next prime is 2211201100211. The reversal of 2211201100200 is 20011021122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2191477296 + ... + 2191478304.

It is an arithmetic number, because the mean of its divisors is an integer number (12749197175).

Almost surely, 2^{2211201100200} is an apocalyptic number.

2211201100200 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 2211201100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671768786400).

2211201100200 is an abundant number, since it is smaller than the sum of its proper divisors (5132336472600).

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

2211201100200 is a wasteful number, since it uses less digits than its factorization.

2211201100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2211201100200 its reverse (20011021122), we get a palindrome (2231212121322).

The spelling of 2211201100200 in words is "two trillion, two hundred eleven billion, two hundred one million, one hundred thousand, two hundred".