22134140100 has 216 divisors, whose sum is σ = 70646415840. Its totient is φ = 5795159040.

The previous prime is 22134140071. The next prime is 22134140113. The reversal of 22134140100 is 104143122.

22134140100 is a `hidden beast` number, since 221 + 3 + 41 + 401 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35757591 + ... + 35758209.

It is an arithmetic number, because the mean of its divisors is an integer number (327066740).

Almost surely, 2^22134140100 is an apocalyptic number.

22134140100 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 22134140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35323207920).

22134140100 is an abundant number, since it is smaller than the sum of its proper divisors (48512275740).

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

22134140100 is a wasteful number, since it uses less digits than its factorization.

22134140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22134140100 its reverse (104143122), we get a palindrome (22238283222).

The spelling of 22134140100 in words is "twenty-two billion, one hundred thirty-four million, one hundred forty thousand, one hundred".