2201322010000 has 200 divisors, whose sum is σ = 5661643569120. Its totient is φ = 826013952000.

The previous prime is 2201322009973. The next prime is 2201322010009. The reversal of 2201322010000 is 102231022.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (2201322010009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52168911 + ... + 52211089.

Almost surely, 2^{2201322010000} is an apocalyptic number.

2201322010000 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 2201322010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830821784560).

2201322010000 is an abundant number, since it is smaller than the sum of its proper divisors (3460321559120).

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

2201322010000 is a wasteful number, since it uses less digits than its factorization.

2201322010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42531 (or 42510 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 2201322010000 its reverse (102231022), we get a palindrome (2201424241022).

The spelling of 2201322010000 in words is "two trillion, two hundred one billion, three hundred twenty-two million, ten thousand".