10222000200000 has 672 divisors, whose sum is σ = 38077084160640. Its totient is φ = 2688422400000.

The previous prime is 10222000199963. The next prime is 10222000200011. The reversal of 10222000200000 is 200022201.

10222000200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 394187035 + ... + 394212965.

It is an arithmetic number, because the mean of its divisors is an integer number (56662327620).

Almost surely, 2^{10222000200000} is an apocalyptic number.

10222000200000 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 10222000200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19038542080320).

10222000200000 is an abundant number, since it is smaller than the sum of its proper divisors (27855083960640).

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

10222000200000 is an frugal number, since it uses more digits than its factorization.

10222000200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26050 (or 26014 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10222000200000 its reverse (200022201), we get a palindrome (10222200222201).

The spelling of 10222000200000 in words is "ten trillion, two hundred twenty-two billion, two hundred thousand".