10222112202000 has 320 divisors, whose sum is σ = 33173520806400. Its totient is φ = 2707955712000.

The previous prime is 10222112201999. The next prime is 10222112202007. The reversal of 10222112202000 is 20221122201.

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

It is not an unprimeable number, because it can be changed into a prime (10222112202007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 803555640 + ... + 803568360.

It is an arithmetic number, because the mean of its divisors is an integer number (103667252520).

Almost surely, 2^{10222112202000} is an apocalyptic number.

10222112202000 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 10222112202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16586760403200).

10222112202000 is an abundant number, since it is smaller than the sum of its proper divisors (22951408604400).

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

10222112202000 is a wasteful number, since it uses less digits than its factorization.

10222112202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13619 (or 13603 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10222112202000 its reverse (20221122201), we get a palindrome (10242333324201).

The spelling of 10222112202000 in words is "ten trillion, two hundred twenty-two billion, one hundred twelve million, two hundred two thousand".