104120102420120 has 256 divisors, whose sum is σ = 240850298880000. Its totient is φ = 40497200640000.

The previous prime is 104120102420111. The next prime is 104120102420137. The reversal of 104120102420120 is 21024201021401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 104120102420092 and 104120102420101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95786662217 + ... + 95786663303.

It is an arithmetic number, because the mean of its divisors is an integer number (940821480000).

Almost surely, 2^{104120102420120} is an apocalyptic number.

104120102420120 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 104120102420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120425149440000).

104120102420120 is an abundant number, since it is smaller than the sum of its proper divisors (136730196459880).

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

104120102420120 is a wasteful number, since it uses less digits than its factorization.

104120102420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 104120102420120 its reverse (21024201021401), we get a palindrome (125144303441521).

The spelling of 104120102420120 in words is "one hundred four trillion, one hundred twenty billion, one hundred two million, four hundred twenty thousand, one hundred twenty".