10120120010 has 64 divisors (see below), whose sum is σ = 24458160384. Its totient is φ = 2911680000.

The previous prime is 10120119949. The next prime is 10120120019. The reversal of 10120120010 is 1002102101.

10120120010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10120120010.

It is not an unprimeable number, because it can be changed into a prime (10120120019) 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 31 ways as a sum of consecutive naturals, for example, 495491 + ... + 515510.

It is an arithmetic number, because the mean of its divisors is an integer number (382158756).

Almost surely, 2^10120120010 is an apocalyptic number.

10120120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120120010 is an abundant number, since it is smaller than the sum of its proper divisors (14338040374).

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

10120120010 is a wasteful number, since it uses less digits than its factorization.

10120120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011039.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10120120010 its reverse (1002102101), we get a palindrome (11122222111).

The spelling of 10120120010 in words is "ten billion, one hundred twenty million, one hundred twenty thousand, ten".