22200100120200 has 192 divisors, whose sum is σ = 71268182294400. Its totient is φ = 5709885798400.

The previous prime is 22200100120183. The next prime is 22200100120207. The reversal of 22200100120200 is 202100100222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (22200100120207) 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 47 ways as a sum of consecutive naturals, for example, 15912805 + ... + 17251595.

It is an arithmetic number, because the mean of its divisors is an integer number (371188449450).

Almost surely, 2^{22200100120200} is an apocalyptic number.

22200100120200 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 22200100120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35634091147200).

22200100120200 is an abundant number, since it is smaller than the sum of its proper divisors (49068082174200).

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

22200100120200 is a wasteful number, since it uses less digits than its factorization.

22200100120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339792 (or 1339783 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22200100120200 its reverse (202100100222), we get a palindrome (22402200220422).

The spelling of 22200100120200 in words is "twenty-two trillion, two hundred billion, one hundred million, one hundred twenty thousand, two hundred".