100220020020 has 144 divisors (see below), whose sum is σ = 312812660160. Its totient is φ = 25957628928.

The previous prime is 100220019973. The next prime is 100220020031. The reversal of 100220020020 is 20020022001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100220019984 and 100220020011.

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 47 ways as a sum of consecutive naturals, for example, 1349292 + ... + 1421628.

It is an arithmetic number, because the mean of its divisors is an integer number (2172310140).

Almost surely, 2^100220020020 is an apocalyptic number.

100220020020 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 100220020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156406330080).

100220020020 is an abundant number, since it is smaller than the sum of its proper divisors (212592640140).

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

100220020020 is a wasteful number, since it uses less digits than its factorization.

100220020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72574 (or 72569 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 100220020020 its reverse (20020022001), we get a palindrome (120240042021).

The spelling of 100220020020 in words is "one hundred billion, two hundred twenty million, twenty thousand, twenty".