22133041120100 has 72 divisors (see below), whose sum is σ = 50982013895400. Its totient is φ = 8311450245120.

The previous prime is 22133041120081. The next prime is 22133041120139. The reversal of 22133041120100 is 102114033122.

It can be written as a sum of positive squares in 12 ways, for example, as 337644669184 + 21795396450916 = 581072^2 + 4668554^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15722375 + ... + 17072174.

It is an arithmetic number, because the mean of its divisors is an integer number (708083526325).

Almost surely, 2^{22133041120100} is an apocalyptic number.

22133041120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133041120100 is an abundant number, since it is smaller than the sum of its proper divisors (28848972775300).

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

22133041120100 is a wasteful number, since it uses less digits than its factorization.

22133041120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32794977 (or 32794970 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 22133041120100 its reverse (102114033122), we get a palindrome (22235155153222).

The spelling of 22133041120100 in words is "twenty-two trillion, one hundred thirty-three billion, forty-one million, one hundred twenty thousand, one hundred".