33422244422100 has 576 divisors, whose sum is σ = 105354194400000. Its totient is φ = 8151736320000.

The previous prime is 33422244422089. The next prime is 33422244422123. The reversal of 33422244422100 is 122444222433.

It is a happy number.

It is a super-2 number, since 2×33422244422100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26759202276 + ... + 26759203524.

It is an arithmetic number, because the mean of its divisors is an integer number (182906587500).

Almost surely, 2^{33422244422100} is an apocalyptic number.

33422244422100 is a gapful number since it is divisible by the number (30) 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 33422244422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52677097200000).

33422244422100 is an abundant number, since it is smaller than the sum of its proper divisors (71931949977900).

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

33422244422100 is a wasteful number, since it uses less digits than its factorization.

33422244422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 33422244422100 its reverse (122444222433), we get a palindrome (33544688644533).

The spelling of 33422244422100 in words is "thirty-three trillion, four hundred twenty-two billion, two hundred forty-four million, four hundred twenty-two thousand, one hundred".