20412100221100 has 108 divisors (see below), whose sum is σ = 51611714164920. Its totient is φ = 6986788704000.

The previous prime is 20412100221083. The next prime is 20412100221101. The reversal of 20412100221100 is 112200121402.

It is not an unprimeable number, because it can be changed into a prime (20412100221101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 520770 + ... + 6410569.

Almost surely, 2^{20412100221100} is an apocalyptic number.

20412100221100 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 20412100221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25805857082460).

20412100221100 is an abundant number, since it is smaller than the sum of its proper divisors (31199613943820).

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

20412100221100 is a wasteful number, since it uses less digits than its factorization.

20412100221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6931968 (or 6931954 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20412100221100 its reverse (112200121402), we get a palindrome (20524300342502).

The spelling of 20412100221100 in words is "twenty trillion, four hundred twelve billion, one hundred million, two hundred twenty-one thousand, one hundred".