2220101344200 has 192 divisors, whose sum is σ = 7185178690560. Its totient is φ = 566000216320.

The previous prime is 2220101344187. The next prime is 2220101344229. The reversal of 2220101344200 is 24431010222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27932917 + ... + 28012283.

It is an arithmetic number, because the mean of its divisors is an integer number (37422805680).

Almost surely, 2^{2220101344200} is an apocalyptic number.

2220101344200 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 2220101344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592589345280).

2220101344200 is an abundant number, since it is smaller than the sum of its proper divisors (4965077346360).

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

2220101344200 is a wasteful number, since it uses less digits than its factorization.

2220101344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81436 (or 81427 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2220101344200 its reverse (24431010222), we get a palindrome (2244532354422).

The spelling of 2220101344200 in words is "two trillion, two hundred twenty billion, one hundred one million, three hundred forty-four thousand, two hundred".