22100011222200 has 192 divisors, whose sum is σ = 70368094248960. Its totient is φ = 5733532408320.

The previous prime is 22100011222153. The next prime is 22100011222213. The reversal of 22100011222200 is 222211000122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22100011222200.

It is a congruent number.

It is an unprimeable number.

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, 281967417 + ... + 282045783.

It is an arithmetic number, because the mean of its divisors is an integer number (366500490880).

Almost surely, 2^{22100011222200} is an apocalyptic number.

22100011222200 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 22100011222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35184047124480).

22100011222200 is an abundant number, since it is smaller than the sum of its proper divisors (48268083026760).

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

22100011222200 is a wasteful number, since it uses less digits than its factorization.

22100011222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91126 (or 91117 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22100011222200 its reverse (222211000122), we get a palindrome (22322222222322).

The spelling of 22100011222200 in words is "twenty-two trillion, one hundred billion, eleven million, two hundred twenty-two thousand, two hundred".