10222022110200 has 192 divisors, whose sum is σ = 31791313663200. Its totient is φ = 2717018112000.

The previous prime is 10222022110177. The next prime is 10222022110207. The reversal of 10222022110200 is 201122022201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10222022110200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222022110207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362456100 + ... + 362484300.

Almost surely, 2^{10222022110200} is an apocalyptic number.

10222022110200 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 10222022110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15895656831600).

10222022110200 is an abundant number, since it is smaller than the sum of its proper divisors (21569291553000).

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

10222022110200 is a wasteful number, since it uses less digits than its factorization.

10222022110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30162 (or 30153 counting only the distinct ones).

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

Adding to 10222022110200 its reverse (201122022201), we get a palindrome (10423144132401).

The spelling of 10222022110200 in words is "ten trillion, two hundred twenty-two billion, twenty-two million, one hundred ten thousand, two hundred".