22121133300100 has 72 divisors (see below), whose sum is σ = 50851130709960. Its totient is φ = 8323929630720.

The previous prime is 22121133300059. The next prime is 22121133300107. The reversal of 22121133300100 is 100333112122.

It can be written as a sum of positive squares in 12 ways, for example, as 14396924971584 + 7724208328516 = 3794328^2 + 2779246^2 .

It is not an unprimeable number, because it can be changed into a prime (22121133300107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372682 + ... + 6661918.

It is an arithmetic number, because the mean of its divisors is an integer number (706265704305).

Almost surely, 2^{22121133300100} is an apocalyptic number.

22121133300100 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 22121133300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25425565354980).

22121133300100 is an abundant number, since it is smaller than the sum of its proper divisors (28729997409860).

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

22121133300100 is a wasteful number, since it uses less digits than its factorization.

22121133300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6291337 (or 6291330 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 22121133300100 its reverse (100333112122), we get a palindrome (22221466412222).

The spelling of 22121133300100 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred thirty-three million, three hundred thousand, one hundred".