20204220100 has 72 divisors (see below), whose sum is σ = 44956763208. Its totient is φ = 7878374400.

The previous prime is 20204220097. The next prime is 20204220143. The reversal of 20204220100 is 102240202.

It can be written as a sum of positive squares in 12 ways, for example, as 1113823876 + 19090396224 = 33374^2 + 138168^2 .

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 23 ways as a sum of consecutive naturals, for example, 819960 + ... + 844240.

It is an arithmetic number, because the mean of its divisors is an integer number (624399489).

Almost surely, 2^20204220100 is an apocalyptic number.

20204220100 is a gapful number since it is divisible by the number (20) 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 20204220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22478381604).

20204220100 is an abundant number, since it is smaller than the sum of its proper divisors (24752543108).

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

20204220100 is a wasteful number, since it uses less digits than its factorization.

20204220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24505 (or 24498 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 20204220100 its reverse (102240202), we get a palindrome (20306460302).

The spelling of 20204220100 in words is "twenty billion, two hundred four million, two hundred twenty thousand, one hundred".