10121292720 has 480 divisors, whose sum is σ = 44874984960. Its totient is φ = 1979228160.

The previous prime is 10121292707. The next prime is 10121292721. The reversal of 10121292720 is 2729212101.

10121292720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10121292721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 937111 + ... + 947849.

It is an arithmetic number, because the mean of its divisors is an integer number (93489552).

Almost surely, 2^10121292720 is an apocalyptic number.

10121292720 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 10121292720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22437492480).

10121292720 is an abundant number, since it is smaller than the sum of its proper divisors (34753692240).

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

10121292720 is a wasteful number, since it uses less digits than its factorization.

10121292720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10793 (or 10784 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 10121292720 in words is "ten billion, one hundred twenty-one million, two hundred ninety-two thousand, seven hundred twenty".