22102122120100 has 144 divisors (see below), whose sum is σ = 52692986808000. Its totient is φ = 7980273907200.

The previous prime is 22102122120037. The next prime is 22102122120121. The reversal of 22102122120100 is 102122120122.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108031102 + ... + 108235498.

It is an arithmetic number, because the mean of its divisors is an integer number (365923519500).

Almost surely, 2^{22102122120100} is an apocalyptic number.

22102122120100 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 22102122120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26346493404000).

22102122120100 is an abundant number, since it is smaller than the sum of its proper divisors (30590864687900).

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

22102122120100 is a wasteful number, since it uses less digits than its factorization.

22102122120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205118 (or 205111 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22102122120100 its reverse (102122120122), we get a palindrome (22204244240222).

It can be divided in two parts, 22102122 and 120100, that added together give a palindrome (22222222).

The spelling of 22102122120100 in words is "twenty-two trillion, one hundred two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred".