10011222102200 has 192 divisors, whose sum is σ = 25759244160000. Its totient is φ = 3587845184000.

The previous prime is 10011222102199. The next prime is 10011222102319. The reversal of 10011222102200 is 220122211001.

It is a congruent number.

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, 487177526 + ... + 487198074.

It is an arithmetic number, because the mean of its divisors is an integer number (134162730000).

Almost surely, 2^{10011222102200} is an apocalyptic number.

10011222102200 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 10011222102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12879622080000).

10011222102200 is an abundant number, since it is smaller than the sum of its proper divisors (15748022057800).

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

10011222102200 is a wasteful number, since it uses less digits than its factorization.

10011222102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23766 (or 23757 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10011222102200 its reverse (220122211001), we get a palindrome (10231344313201).

The spelling of 10011222102200 in words is "ten trillion, eleven billion, two hundred twenty-two million, one hundred two thousand, two hundred".