10219201200 has 360 divisors, whose sum is σ = 38849232240. Its totient is φ = 2472192000.

The previous prime is 10219201193. The next prime is 10219201297. The reversal of 10219201200 is 210291201.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2759350 + ... + 2763050.

It is an arithmetic number, because the mean of its divisors is an integer number (107914534).

Almost surely, 2^10219201200 is an apocalyptic number.

10219201200 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 10219201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19424616120).

10219201200 is an abundant number, since it is smaller than the sum of its proper divisors (28630031040).

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

10219201200 is a wasteful number, since it uses less digits than its factorization.

10219201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10219201200 its reverse (210291201), we get a palindrome (10429492401).

The spelling of 10219201200 in words is "ten billion, two hundred nineteen million, two hundred one thousand, two hundred".