20344114420100 has 216 divisors, whose sum is σ = 46716380975880. Its totient is φ = 7680807680000.

The previous prime is 20344114420093. The next prime is 20344114420109. The reversal of 20344114420100 is 102441144302.

It can be written as a sum of positive squares in 12 ways, for example, as 16642369204036 + 3701745216064 = 4079506^2 + 1923992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20344114420100.

It is not an unprimeable number, because it can be changed into a prime (20344114420109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8334334880 + ... + 8334337320.

It is an arithmetic number, because the mean of its divisors is an integer number (216279541555).

Almost surely, 2^{20344114420100} is an apocalyptic number.

20344114420100 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 20344114420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23358190487940).

20344114420100 is an abundant number, since it is smaller than the sum of its proper divisors (26372266555780).

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

20344114420100 is a wasteful number, since it uses less digits than its factorization.

20344114420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 20344114420100 its reverse (102441144302), we get a palindrome (20446555564402).

The spelling of 20344114420100 in words is "twenty trillion, three hundred forty-four billion, one hundred fourteen million, four hundred twenty thousand, one hundred".