2213102122200 has 288 divisors, whose sum is σ = 7832281335840. Its totient is φ = 558911232000.

The previous prime is 2213102122123. The next prime is 2213102122211. The reversal of 2213102122200 is 22212013122.

2213102122200 is a `hidden beast` number, since 221 + 3 + 10 + 212 + 220 + 0 = 666.

It is a super-2 number, since 2×2213102122200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3916764 + ... + 4446036.

It is an arithmetic number, because the mean of its divisors is an integer number (27195421305).

Almost surely, 2^{2213102122200} is an apocalyptic number.

2213102122200 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 2213102122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916140667920).

2213102122200 is an abundant number, since it is smaller than the sum of its proper divisors (5619179213640).

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

2213102122200 is a wasteful number, since it uses less digits than its factorization.

2213102122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529419 (or 529407 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2213102122200 its reverse (22212013122), we get a palindrome (2235314135322).

The spelling of 2213102122200 in words is "two trillion, two hundred thirteen billion, one hundred two million, one hundred twenty-two thousand, two hundred".