100101201020 has 24 divisors (see below), whose sum is σ = 210393321264. Its totient is φ = 40006042496.

The previous prime is 100101200999. The next prime is 100101201043. The reversal of 100101201020 is 20102101001.

100101201020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100101200989 and 100101201007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2128529 + ... + 2175048.

It is an arithmetic number, because the mean of its divisors is an integer number (8766388386).

Almost surely, 2^100101201020 is an apocalyptic number.

100101201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101201020 is an abundant number, since it is smaller than the sum of its proper divisors (110292120244).

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

100101201020 is a wasteful number, since it uses less digits than its factorization.

100101201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304749 (or 4304747 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100101201020 its reverse (20102101001), we get a palindrome (120203302021).

The spelling of 100101201020 in words is "one hundred billion, one hundred one million, two hundred one thousand, twenty".