10121330020320 has 288 divisors, whose sum is σ = 34891082553600. Its totient is φ = 2671526707200.

The previous prime is 10121330020271. The next prime is 10121330020369. The reversal of 10121330020320 is 2302003312101.

10121330020320 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 3 + 300 + 20 + 320 = 666.

10121330020320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10121330020271) and next prime (10121330020369).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10121330020320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10121330020293 and 10121330020302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 646763856 + ... + 646779504.

It is an arithmetic number, because the mean of its divisors is an integer number (121149592200).

Almost surely, 2^{10121330020320} is an apocalyptic number.

10121330020320 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 10121330020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17445541276800).

10121330020320 is an abundant number, since it is smaller than the sum of its proper divisors (24769752533280).

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

10121330020320 is a wasteful number, since it uses less digits than its factorization.

10121330020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20218 (or 20207 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10121330020320 its reverse (2302003312101), we get a palindrome (12423333332421).

The spelling of 10121330020320 in words is "ten trillion, one hundred twenty-one billion, three hundred thirty million, twenty thousand, three hundred twenty".