10211445200 has 240 divisors, whose sum is σ = 28064275200. Its totient is φ = 3536332800.

The previous prime is 10211445197. The next prime is 10211445221. The reversal of 10211445200 is 254411201.

It is a happy number.

It is a super-2 number, since 2×10211445200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 10079894 + ... + 10080906.

It is an arithmetic number, because the mean of its divisors is an integer number (116934480).

Almost surely, 2^10211445200 is an apocalyptic number.

10211445200 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 10211445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14032137600).

10211445200 is an abundant number, since it is smaller than the sum of its proper divisors (17852830000).

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

10211445200 is a wasteful number, since it uses less digits than its factorization.

10211445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 10211445200 its reverse (254411201), we get a palindrome (10465856401).

The spelling of 10211445200 in words is "ten billion, two hundred eleven million, four hundred forty-five thousand, two hundred".