22201333110000 has 900 divisors, whose sum is σ = 87055927142184. Its totient is φ = 5236358400000.

The previous prime is 22201333109971. The next prime is 22201333110031. The reversal of 22201333110000 is 1133310222.

22201333110000 is a `hidden beast` number, since 2 + 220 + 1 + 333 + 110 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×22201333110000² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1355301810 + ... + 1355318190.

Almost surely, 2^{22201333110000} is an apocalyptic number.

22201333110000 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 22201333110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43527963571092).

22201333110000 is an abundant number, since it is smaller than the sum of its proper divisors (64854594032184).

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

22201333110000 is a wasteful number, since it uses less digits than its factorization.

22201333110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16500 (or 16439 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22201333110000 its reverse (1133310222), we get a palindrome (22202466420222).

The spelling of 22201333110000 in words is "twenty-two trillion, two hundred one billion, three hundred thirty-three million, one hundred ten thousand".