10211251200 has 264 divisors, whose sum is σ = 34845507840. Its totient is φ = 2634547200.

The previous prime is 10211251199. The next prime is 10211251241. The reversal of 10211251200 is 215211201.

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 10211251200.

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, 2378656 + ... + 2382944.

It is an arithmetic number, because the mean of its divisors is an integer number (131990560).

Almost surely, 2^10211251200 is an apocalyptic number.

10211251200 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 10211251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17422753920).

10211251200 is an abundant number, since it is smaller than the sum of its proper divisors (24634256640).

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

10211251200 is a wasteful number, since it uses less digits than its factorization.

10211251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4353 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 10211251200 its reverse (215211201), we get a palindrome (10426462401).

The spelling of 10211251200 in words is "ten billion, two hundred eleven million, two hundred fifty-one thousand, two hundred".