10000110120 has 512 divisors, whose sum is σ = 41126400000. Its totient is φ = 1916974080.

The previous prime is 10000110097. The next prime is 10000110137. The reversal of 10000110120 is 2101100001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 10000110099 and 10000110108.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5885031 + ... + 5886729.

It is an arithmetic number, because the mean of its divisors is an integer number (80325000).

Almost surely, 2^10000110120 is an apocalyptic number.

10000110120 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 10000110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200000).

10000110120 is an abundant number, since it is smaller than the sum of its proper divisors (31126289880).

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

10000110120 is a wasteful number, since it uses less digits than its factorization.

10000110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10000110120 its reverse (2101100001), we get a palindrome (12101210121).

The spelling of 10000110120 in words is "ten billion, one hundred ten thousand, one hundred twenty".