2221102233200 has 240 divisors, whose sum is σ = 5569155217920. Its totient is φ = 850569984000.

The previous prime is 2221102233179. The next prime is 2221102233209. The reversal of 2221102233200 is 23322011222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221102233209) 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, 297771071 + ... + 297778529.

It is an arithmetic number, because the mean of its divisors is an integer number (23204813408).

Almost surely, 2^{2221102233200} is an apocalyptic number.

2221102233200 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 2221102233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784577608960).

2221102233200 is an abundant number, since it is smaller than the sum of its proper divisors (3348052984720).

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

2221102233200 is a wasteful number, since it uses less digits than its factorization.

2221102233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7856 (or 7845 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2221102233200 its reverse (23322011222), we get a palindrome (2244424244422).

It can be divided in two parts, 22211022 and 33200, that added together give a palindrome (22244222).

The spelling of 2221102233200 in words is "two trillion, two hundred twenty-one billion, one hundred two million, two hundred thirty-three thousand, two hundred".