10102334341120 has 240 divisors, whose sum is σ = 27723618699840. Its totient is φ = 3461757272064.

The previous prime is 10102334341117. The next prime is 10102334341129. The reversal of 10102334341120 is 2114343320101.

It is not an unprimeable number, because it can be changed into a prime (10102334341129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1397469666 + ... + 1397476894.

It is an arithmetic number, because the mean of its divisors is an integer number (115515077916).

Almost surely, 2^{10102334341120} is an apocalyptic number.

10102334341120 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 10102334341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13861809349920).

10102334341120 is an abundant number, since it is smaller than the sum of its proper divisors (17621284358720).

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

10102334341120 is an frugal number, since it uses more digits than its factorization.

10102334341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9706 (or 9680 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10102334341120 its reverse (2114343320101), we get a palindrome (12216677661221).

The spelling of 10102334341120 in words is "ten trillion, one hundred two billion, three hundred thirty-four million, three hundred forty-one thousand, one hundred twenty".