11102122212200 has 192 divisors, whose sum is σ = 26343582236160. Its totient is φ = 4350251473920.

The previous prime is 11102122212193. The next prime is 11102122212271. The reversal of 11102122212200 is 221222120111.

It is a super-2 number, since 2×11102122212200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4341853322 + ... + 4341855878.

It is an arithmetic number, because the mean of its divisors is an integer number (137206157480).

Almost surely, 2^{11102122212200} is an apocalyptic number.

11102122212200 is a gapful number since it is divisible by the number (10) 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 11102122212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13171791118080).

11102122212200 is an abundant number, since it is smaller than the sum of its proper divisors (15241460023960).

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

11102122212200 is a wasteful number, since it uses less digits than its factorization.

11102122212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11102122212200 its reverse (221222120111), we get a palindrome (11323344332311).

The spelling of 11102122212200 in words is "eleven trillion, one hundred two billion, one hundred twenty-two million, two hundred twelve thousand, two hundred".