10510013410120 has 128 divisors (see below), whose sum is σ = 27455936313600. Its totient is φ = 3546290958336.

The previous prime is 10510013410067. The next prime is 10510013410139. The reversal of 10510013410120 is 2101431001501.

10510013410120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10510013410120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8778511 + ... + 9903649.

It is an arithmetic number, because the mean of its divisors is an integer number (214499502450).

Almost surely, 2^{10510013410120} is an apocalyptic number.

10510013410120 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 10510013410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13727968156800).

10510013410120 is an abundant number, since it is smaller than the sum of its proper divisors (16945922903480).

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

10510013410120 is a wasteful number, since it uses less digits than its factorization.

10510013410120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125687 (or 1125683 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 10510013410120 its reverse (2101431001501), we get a palindrome (12611444411621).

The spelling of 10510013410120 in words is "ten trillion, five hundred ten billion, thirteen million, four hundred ten thousand, one hundred twenty".