2210201011200 has 1056 divisors, whose sum is σ = 9036358024960. Its totient is φ = 463955558400.

The previous prime is 2210201011189. The next prime is 2210201011241. The reversal of 2210201011200 is 21101020122.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1600434510 + ... + 1600435890.

Almost surely, 2^{2210201011200} is an apocalyptic number.

2210201011200 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 2210201011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4518179012480).

2210201011200 is an abundant number, since it is smaller than the sum of its proper divisors (6826157013760).

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

2210201011200 is a wasteful number, since it uses less digits than its factorization.

2210201011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1640 counting only the distinct ones).

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

Adding to 2210201011200 its reverse (21101020122), we get a palindrome (2231302031322).

The spelling of 2210201011200 in words is "two trillion, two hundred ten billion, two hundred one million, eleven thousand, two hundred".