10204121083320 has 192 divisors, whose sum is σ = 33569757936000. Its totient is φ = 2687817775104.

The previous prime is 10204121083283. The next prime is 10204121083327. The reversal of 10204121083320 is 2338012140201.

10204121083320 is a `hidden beast` number, since 1 + 0 + 204 + 121 + 0 + 8 + 332 + 0 = 666.

It is a Cunningham number, because it is equal to 3194389²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204121083327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31784161 + ... + 32103599.

It is an arithmetic number, because the mean of its divisors is an integer number (174842489250).

Almost surely, 2^{10204121083320} is an apocalyptic number.

10204121083320 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 10204121083320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16784878968000).

10204121083320 is an abundant number, since it is smaller than the sum of its proper divisors (23365636852680).

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

10204121083320 is a wasteful number, since it uses less digits than its factorization.

10204121083320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320542 (or 320535 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10204121083320 in words is "ten trillion, two hundred four billion, one hundred twenty-one million, eighty-three thousand, three hundred twenty".