10202304616120 has 128 divisors (see below), whose sum is σ = 23881349283840. Its totient is φ = 3918364369920.

The previous prime is 10202304616111. The next prime is 10202304616121. The reversal of 10202304616120 is 2161640320201.

10202304616120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202304616121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340254649 + ... + 340284631.

It is an arithmetic number, because the mean of its divisors is an integer number (186573041280).

Almost surely, 2^{10202304616120} is an apocalyptic number.

10202304616120 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 10202304616120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11940674641920).

10202304616120 is an abundant number, since it is smaller than the sum of its proper divisors (13679044667720).

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

10202304616120 is a wasteful number, since it uses less digits than its factorization.

10202304616120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32165 (or 32161 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 10202304616120 its reverse (2161640320201), we get a palindrome (12363944936321).

The spelling of 10202304616120 in words is "ten trillion, two hundred two billion, three hundred four million, six hundred sixteen thousand, one hundred twenty".