2213322211100 has 432 divisors, whose sum is σ = 6509484491328. Its totient is φ = 635627520000.

The previous prime is 2213322211081. The next prime is 2213322211147. The reversal of 2213322211100 is 11122233122.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 727825580 + ... + 727828620.

Almost surely, 2^{2213322211100} is an apocalyptic number.

2213322211100 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 2213322211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254742245664).

2213322211100 is an abundant number, since it is smaller than the sum of its proper divisors (4296162280228).

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

2213322211100 is a wasteful number, since it uses less digits than its factorization.

2213322211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2213322211100 its reverse (11122233122), we get a palindrome (2224444444222).

The spelling of 2213322211100 in words is "two trillion, two hundred thirteen billion, three hundred twenty-two million, two hundred eleven thousand, one hundred".