22133000330100 has 324 divisors, whose sum is σ = 76954418000460. Its totient is φ = 5316347520000.

The previous prime is 22133000330099. The next prime is 22133000330143. The reversal of 22133000330100 is 103300033122.

22133000330100 is a `hidden beast` number, since 2 + 2 + 1 + 330 + 0 + 0 + 330 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3720971556324 + 18412028773776 = 1928982^2 + 4290924^2 .

It is a super-2 number, since 2×22133000330100² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10937800 + ... + 12802400.

Almost surely, 2^{22133000330100} is an apocalyptic number.

22133000330100 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 22133000330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38477209000230).

22133000330100 is an abundant number, since it is smaller than the sum of its proper divisors (54821417670360).

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

22133000330100 is a wasteful number, since it uses less digits than its factorization.

22133000330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864752 (or 1864731 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 22133000330100 its reverse (103300033122), we get a palindrome (22236300363222).

The spelling of 22133000330100 in words is "twenty-two trillion, one hundred thirty-three billion, three hundred thirty thousand, one hundred".