100020201020 has 96 divisors (see below), whose sum is σ = 216641126016. Its totient is φ = 38776320000.

The previous prime is 100020200983. The next prime is 100020201077. The reversal of 100020201020 is 20102020001.

It is a super-2 number, since 2×100020201020² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100020200989 and 100020201007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20199545 + ... + 20204495.

It is an arithmetic number, because the mean of its divisors is an integer number (2256678396).

Almost surely, 2^100020201020 is an apocalyptic number.

100020201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020201020 is an abundant number, since it is smaller than the sum of its proper divisors (116620924996).

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

100020201020 is a wasteful number, since it uses less digits than its factorization.

100020201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271 (or 5269 counting only the distinct ones).

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

Adding to 100020201020 its reverse (20102020001), we get a palindrome (120122221021).

The spelling of 100020201020 in words is "one hundred billion, twenty million, two hundred one thousand, twenty".