1101122222200 has 768 divisors, whose sum is σ = 3597519744000. Its totient is φ = 302303232000.

The previous prime is 1101122222143. The next prime is 1101122222237. The reversal of 1101122222200 is 22222211011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 516715135 + ... + 516717265.

It is an arithmetic number, because the mean of its divisors is an integer number (4684270500).

Almost surely, 2^{1101122222200} is an apocalyptic number.

1101122222200 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 1101122222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798759872000).

1101122222200 is an abundant number, since it is smaller than the sum of its proper divisors (2496397521800).

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

1101122222200 is a wasteful number, since it uses less digits than its factorization.

1101122222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1101122222200 its reverse (22222211011), we get a palindrome (1123344433211).

The spelling of 1101122222200 in words is "one trillion, one hundred one billion, one hundred twenty-two million, two hundred twenty-two thousand, two hundred".