22121210211100 has 432 divisors, whose sum is σ = 65212376140800. Its totient is φ = 6337838707200.

The previous prime is 22121210211083. The next prime is 22121210211119. The reversal of 22121210211100 is 111201212122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 263120871 + ... + 263204929.

It is an arithmetic number, because the mean of its divisors is an integer number (150954574400).

Almost surely, 2^{22121210211100} is an apocalyptic number.

22121210211100 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 22121210211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32606188070400).

22121210211100 is an abundant number, since it is smaller than the sum of its proper divisors (43091165929700).

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

22121210211100 is a wasteful number, since it uses less digits than its factorization.

22121210211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84354 (or 84336 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22121210211100 its reverse (111201212122), we get a palindrome (22232411423222).

The spelling of 22121210211100 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred ten million, two hundred eleven thousand, one hundred".