100220100020 has 24 divisors (see below), whose sum is σ = 212324712264. Its totient is φ = 39733277696.

The previous prime is 100220099989. The next prime is 100220100023. The reversal of 100220100020 is 20001022001.

It can be written as a sum of positive squares in 4 ways, for example, as 8739258256 + 91480841764 = 93484^2 + 302458^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100220099980 and 100220100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220100023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22170329 + ... + 22174848.

It is an arithmetic number, because the mean of its divisors is an integer number (8846863011).

Almost surely, 2^100220100020 is an apocalyptic number.

100220100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220100020 is an abundant number, since it is smaller than the sum of its proper divisors (112104612244).

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

100220100020 is a wasteful number, since it uses less digits than its factorization.

100220100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44345299 (or 44345297 counting only the distinct ones).

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

Adding to 100220100020 its reverse (20001022001), we get a palindrome (120221122021).

The spelling of 100220100020 in words is "one hundred billion, two hundred twenty million, one hundred thousand, twenty".