22201302201000 has 512 divisors, whose sum is σ = 79082541457920. Its totient is φ = 5137078272000.

The previous prime is 22201302200897. The next prime is 22201302201011. The reversal of 22201302201000 is 10220310222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 127 ways as a sum of consecutive naturals, for example, 544302607 + ... + 544343393.

It is an arithmetic number, because the mean of its divisors is an integer number (154458088785).

Almost surely, 2^{22201302201000} is an apocalyptic number.

22201302201000 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 22201302201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39541270728960).

22201302201000 is an abundant number, since it is smaller than the sum of its proper divisors (56881239256920).

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

22201302201000 is a wasteful number, since it uses less digits than its factorization.

22201302201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41662 (or 41648 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22201302201000 its reverse (10220310222), we get a palindrome (22211522511222).

The spelling of 22201302201000 in words is "twenty-two trillion, two hundred one billion, three hundred two million, two hundred one thousand".