22131442134100 has 432 divisors, whose sum is σ = 58204685911680. Its totient is φ = 7255476633600.

The previous prime is 22131442134091. The next prime is 22131442134143. The reversal of 22131442134100 is 143124413122.

It is a happy number.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 1315538289 + ... + 1315555111.

It is an arithmetic number, because the mean of its divisors is an integer number (134733069240).

Almost surely, 2^{22131442134100} is an apocalyptic number.

22131442134100 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 22131442134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29102342955840).

22131442134100 is an abundant number, since it is smaller than the sum of its proper divisors (36073243777580).

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

22131442134100 is a wasteful number, since it uses less digits than its factorization.

22131442134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17140 (or 17120 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 22131442134100 its reverse (143124413122), we get a palindrome (22274566547222).

The spelling of 22131442134100 in words is "twenty-two trillion, one hundred thirty-one billion, four hundred forty-two million, one hundred thirty-four thousand, one hundred".