22200221121100 has 288 divisors, whose sum is σ = 53255468431872. Its totient is φ = 7965984000000.

The previous prime is 22200221121061. The next prime is 22200221121101. The reversal of 22200221121100 is 112112200222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22200221121101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22584151209 + ... + 22584152191.

It is an arithmetic number, because the mean of its divisors is an integer number (184914820944).

Almost surely, 2^{22200221121100} is an apocalyptic number.

22200221121100 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 22200221121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26627734215936).

22200221121100 is an abundant number, since it is smaller than the sum of its proper divisors (31055247310772).

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

22200221121100 is a wasteful number, since it uses less digits than its factorization.

22200221121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1930 counting only the distinct ones).

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

Adding to 22200221121100 its reverse (112112200222), we get a palindrome (22312333321322).

The spelling of 22200221121100 in words is "twenty-two trillion, two hundred billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred".