20102221212100 has 72 divisors (see below), whose sum is σ = 44551538519040. Its totient is φ = 7869524056320.

The previous prime is 20102221212071. The next prime is 20102221212103. The reversal of 20102221212100 is 121212220102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20102221212103) by changing a digit.

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, 172746736 + ... + 172863064.

It is an arithmetic number, because the mean of its divisors is an integer number (618771368320).

Almost surely, 2^{20102221212100} is an apocalyptic number.

20102221212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102221212100 is an abundant number, since it is smaller than the sum of its proper divisors (24449317306940).

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

20102221212100 is a wasteful number, since it uses less digits than its factorization.

20102221212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153157 (or 153150 counting only the distinct ones).

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

Adding to 20102221212100 its reverse (121212220102), we get a palindrome (20223433432202).

The spelling of 20102221212100 in words is "twenty trillion, one hundred two billion, two hundred twenty-one million, two hundred twelve thousand, one hundred".