100420104020 has 48 divisors (see below), whose sum is σ = 212621507280. Its totient is φ = 39837302784.

The previous prime is 100420104019. The next prime is 100420104049. The reversal of 100420104020 is 20401024001.

It can be written as a sum of positive squares in 8 ways, for example, as 10219592464 + 90200511556 = 101092^2 + 300334^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100420103986 and 100420104004.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2989076 + ... + 3022484.

It is an arithmetic number, because the mean of its divisors is an integer number (4429614735).

Almost surely, 2^100420104020 is an apocalyptic number.

100420104020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100420104020 is an abundant number, since it is smaller than the sum of its proper divisors (112201403260).

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

100420104020 is a wasteful number, since it uses less digits than its factorization.

100420104020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34652 (or 34650 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100420104020 its reverse (20401024001), we get a palindrome (120821128021).

The spelling of 100420104020 in words is "one hundred billion, four hundred twenty million, one hundred four thousand, twenty".