10222011200 has 168 divisors, whose sum is σ = 25864011264. Its totient is φ = 3974400000.

The previous prime is 10222011199. The next prime is 10222011221. The reversal of 10222011200 is 211022201.

It is a happy number.

It is a super-3 number, since 3×10222011200³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13610825 + ... + 13611575.

It is an arithmetic number, because the mean of its divisors is an integer number (153952448).

Almost surely, 2^10222011200 is an apocalyptic number.

10222011200 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 10222011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12932005632).

10222011200 is an abundant number, since it is smaller than the sum of its proper divisors (15642000064).

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

10222011200 is a wasteful number, since it uses less digits than its factorization.

10222011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10222011200 its reverse (211022201), we get a palindrome (10433033401).

The spelling of 10222011200 in words is "ten billion, two hundred twenty-two million, eleven thousand, two hundred".