22212200022100 has 144 divisors (see below), whose sum is σ = 55679309171136. Its totient is φ = 7601504512000.

The previous prime is 22212200022079. The next prime is 22212200022119. The reversal of 22212200022100 is 122000221222.

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, 342944319 + ... + 343009081.

It is an arithmetic number, because the mean of its divisors is an integer number (386661869244).

Almost surely, 2^{22212200022100} is an apocalyptic number.

22212200022100 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 22212200022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27839654585568).

22212200022100 is an abundant number, since it is smaller than the sum of its proper divisors (33467109149036).

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

22212200022100 is a wasteful number, since it uses less digits than its factorization.

22212200022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83146 (or 83139 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22212200022100 its reverse (122000221222), we get a palindrome (22334200243322).

The spelling of 22212200022100 in words is "twenty-two trillion, two hundred twelve billion, two hundred million, twenty-two thousand, one hundred".