10211023200 has 288 divisors, whose sum is σ = 39014002944. Its totient is φ = 2270730240.

The previous prime is 10211023189. The next prime is 10211023201. The reversal of 10211023200 is 232011201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211023201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613387 + ... + 629813.

It is an arithmetic number, because the mean of its divisors is an integer number (135465288).

Almost surely, 2^10211023200 is an apocalyptic number.

10211023200 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 10211023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19507001472).

10211023200 is an abundant number, since it is smaller than the sum of its proper divisors (28802979744).

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

10211023200 is a wasteful number, since it uses less digits than its factorization.

10211023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16494 (or 16481 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10211023200 its reverse (232011201), we get a palindrome (10443034401).

The spelling of 10211023200 in words is "ten billion, two hundred eleven million, twenty-three thousand, two hundred".