10222201022000 has 320 divisors, whose sum is σ = 27214359419520. Its totient is φ = 3682801664000.

The previous prime is 10222201021987. The next prime is 10222201022003. The reversal of 10222201022000 is 22010222201.

It is not an unprimeable number, because it can be changed into a prime (10222201022003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1678794956 + ... + 1678801044.

It is an arithmetic number, because the mean of its divisors is an integer number (85044873186).

Almost surely, 2^{10222201022000} is an apocalyptic number.

10222201022000 is a gapful number since it is divisible by the number (10) 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 10222201022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13607179709760).

10222201022000 is an abundant number, since it is smaller than the sum of its proper divisors (16992158397520).

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

10222201022000 is a wasteful number, since it uses less digits than its factorization.

10222201022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6817 (or 6801 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10222201022000 its reverse (22010222201), we get a palindrome (10244211244201).

The spelling of 10222201022000 in words is "ten trillion, two hundred twenty-two billion, two hundred one million, twenty-two thousand".