10121250816 has 288 divisors, whose sum is σ = 30586701600. Its totient is φ = 3221422080.

The previous prime is 10121250779. The next prime is 10121250817. The reversal of 10121250816 is 61805212101.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 10121250816.

It is not an unprimeable number, because it can be changed into a prime (10121250817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44586895 + ... + 44587121.

It is an arithmetic number, because the mean of its divisors is an integer number (106203825).

Almost surely, 2^10121250816 is an apocalyptic number.

10121250816 is a gapful number since it is divisible by the number (16) 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 10121250816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15293350800).

10121250816 is an abundant number, since it is smaller than the sum of its proper divisors (20465450784).

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

10121250816 is a wasteful number, since it uses less digits than its factorization.

10121250816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 10121250816 its reverse (61805212101), we get a palindrome (71926462917).

The spelling of 10121250816 in words is "ten billion, one hundred twenty-one million, two hundred fifty thousand, eight hundred sixteen".