22133121213100 has 36 divisors (see below), whose sum is σ = 48044452317624. Its totient is φ = 8850376727680.

The previous prime is 22133121213097. The next prime is 22133121213113. The reversal of 22133121213100 is 131212133122.

It is a super-3 number, since 3×22133121213100³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 11 ways as a sum of consecutive naturals, for example, 35587129 + ... + 36203728.

It is an arithmetic number, because the mean of its divisors is an integer number (1334568119934).

Almost surely, 2^{22133121213100} is an apocalyptic number.

22133121213100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133121213100 is an abundant number, since it is smaller than the sum of its proper divisors (25911331104524).

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

22133121213100 is a wasteful number, since it uses less digits than its factorization.

22133121213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71793954 (or 71793947 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 22133121213100 its reverse (131212133122), we get a palindrome (22264333346222).

The spelling of 22133121213100 in words is "twenty-two trillion, one hundred thirty-three billion, one hundred twenty-one million, two hundred thirteen thousand, one hundred".