10121216160 has 192 divisors, whose sum is σ = 35589818880. Its totient is φ = 2396513280.

The previous prime is 10121216159. The next prime is 10121216167. The reversal of 10121216160 is 6161212101.

It is not an unprimeable number, because it can be changed into a prime (10121216167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204751 + ... + 249329.

It is an arithmetic number, because the mean of its divisors is an integer number (185363640).

Almost surely, 2^10121216160 is an apocalyptic number.

10121216160 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 10121216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17794909440).

10121216160 is an abundant number, since it is smaller than the sum of its proper divisors (25468602720).

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

10121216160 is a wasteful number, since it uses less digits than its factorization.

10121216160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44651 (or 44643 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 10121216160 its reverse (6161212101), we get a palindrome (16282428261).

The spelling of 10121216160 in words is "ten billion, one hundred twenty-one million, two hundred sixteen thousand, one hundred sixty".