100420410120 has 128 divisors (see below), whose sum is σ = 305648985600. Its totient is φ = 26391085056.

The previous prime is 100420410119. The next prime is 100420410199. The reversal of 100420410120 is 21014024001.

100420410120 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100420410120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2763912 + ... + 2800008.

It is an arithmetic number, because the mean of its divisors is an integer number (2387882700).

Almost surely, 2^100420410120 is an apocalyptic number.

100420410120 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 100420410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152824492800).

100420410120 is an abundant number, since it is smaller than the sum of its proper divisors (205228575480).

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

100420410120 is a wasteful number, since it uses less digits than its factorization.

100420410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36447 (or 36443 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100420410120 its reverse (21014024001), we get a palindrome (121434434121).

The spelling of 100420410120 in words is "one hundred billion, four hundred twenty million, four hundred ten thousand, one hundred twenty".