22100002210000 has 400 divisors, whose sum is σ = 66558319869888. Its totient is φ = 6981811200000.

The previous prime is 22100002209959. The next prime is 22100002210009. The reversal of 22100002210000 is 1220000122.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100002210009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23855455 + ... + 24764545.

Almost surely, 2^{22100002210000} is an apocalyptic number.

22100002210000 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 22100002210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33279159934944).

22100002210000 is an abundant number, since it is smaller than the sum of its proper divisors (44458317659888).

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

22100002210000 is a wasteful number, since it uses less digits than its factorization.

22100002210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909160 (or 909139 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22100002210000 its reverse (1220000122), we get a palindrome (22101222210122).

The spelling of 22100002210000 in words is "twenty-two trillion, one hundred billion, two million, two hundred ten thousand".