22133104133100 has 144 divisors (see below), whose sum is σ = 64114824888576. Its totient is φ = 5895124704000.

The previous prime is 22133104133083. The next prime is 22133104133117. The reversal of 22133104133100 is 133140133122.

It is an interprime number because it is at equal distance from previous prime (22133104133083) and next prime (22133104133117).

It is a super-2 number, since 2×22133104133100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1988414535 + ... + 1988425665.

It is an arithmetic number, because the mean of its divisors is an integer number (445241839504).

Almost surely, 2^{22133104133100} is an apocalyptic number.

22133104133100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133104133100 is an abundant number, since it is smaller than the sum of its proper divisors (41981720755476).

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

22133104133100 is a wasteful number, since it uses less digits than its factorization.

22133104133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18456 (or 18449 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 22133104133100 its reverse (133140133122), we get a palindrome (22266244266222).

The spelling of 22133104133100 in words is "twenty-two trillion, one hundred thirty-three billion, one hundred four million, one hundred thirty-three thousand, one hundred".