100420424123220 has 144 divisors (see below), whose sum is σ = 312069456578880. Its totient is φ = 26124388190208.

The previous prime is 100420424123209. The next prime is 100420424123237. The reversal of 100420424123220 is 22321424024001.

It is a happy number.

100420424123220 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 0 + 424 + 1 + 232 + 2 + 0 = 666.

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, 1443165 + ... + 14245124.

It is an arithmetic number, because the mean of its divisors is an integer number (2167149004020).

Almost surely, 2^{100420424123220} is an apocalyptic number.

100420424123220 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 100420424123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156034728289440).

100420424123220 is an abundant number, since it is smaller than the sum of its proper divisors (211649032455660).

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

100420424123220 is a wasteful number, since it uses less digits than its factorization.

100420424123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15689174 (or 15689169 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 100420424123220 its reverse (22321424024001), we get a palindrome (122741848147221).

The spelling of 100420424123220 in words is "one hundred trillion, four hundred twenty billion, four hundred twenty-four million, one hundred twenty-three thousand, two hundred twenty".