22112100002000 has 80 divisors (see below), whose sum is σ = 54475870477392. Its totient is φ = 8677956185600.

The previous prime is 22112100001973. The next prime is 22112100002029. The reversal of 22112100002000 is 20000121122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8980666394176 + 13131433607824 = 2996776^2 + 3623732^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104196359 + ... + 104408358.

Almost surely, 2^{22112100002000} is an apocalyptic number.

22112100002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112100002000 is an abundant number, since it is smaller than the sum of its proper divisors (32363770475392).

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

22112100002000 is a wasteful number, since it uses less digits than its factorization.

22112100002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208604793 (or 208604777 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22112100002000 its reverse (20000121122), we get a palindrome (22132100123122).

The spelling of 22112100002000 in words is "twenty-two trillion, one hundred twelve billion, one hundred million, two thousand".