2201100211200 has 528 divisors, whose sum is σ = 7950331574784. Its totient is φ = 532643020800.

The previous prime is 2201100211169. The next prime is 2201100211201. The reversal of 2201100211200 is 21120011022.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201100211201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 546583587 + ... + 546587613.

Almost surely, 2^{2201100211200} is an apocalyptic number.

2201100211200 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 2201100211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975165787392).

2201100211200 is an abundant number, since it is smaller than the sum of its proper divisors (5749231363584).

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

2201100211200 is a wasteful number, since it uses less digits than its factorization.

2201100211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4718 (or 4695 counting only the distinct ones).

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

Adding to 2201100211200 its reverse (21120011022), we get a palindrome (2222220222222).

The spelling of 2201100211200 in words is "two trillion, two hundred one billion, one hundred million, two hundred eleven thousand, two hundred".