10340100120 has 128 divisors (see below), whose sum is σ = 35495792640. Its totient is φ = 2360517120.

The previous prime is 10340100119. The next prime is 10340100139. The reversal of 10340100120 is 2100104301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10340100096 and 10340100105.

It is a congruent number.

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, 709305 + ... + 723735.

It is an arithmetic number, because the mean of its divisors is an integer number (277310880).

Almost surely, 2^10340100120 is an apocalyptic number.

10340100120 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 10340100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17747896320).

10340100120 is an abundant number, since it is smaller than the sum of its proper divisors (25155692520).

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

10340100120 is a wasteful number, since it uses less digits than its factorization.

10340100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15305 (or 15301 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10340100120 its reverse (2100104301), we get a palindrome (12440204421).

The spelling of 10340100120 in words is "ten billion, three hundred forty million, one hundred thousand, one hundred twenty".