20120100221100 has 288 divisors, whose sum is σ = 64563321182976. Its totient is φ = 4796666265600.

The previous prime is 20120100221051. The next prime is 20120100221129. The reversal of 20120100221100 is 112200102102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131035572 + ... + 131189028.

It is an arithmetic number, because the mean of its divisors is an integer number (224178198552).

Almost surely, 2^{20120100221100} is an apocalyptic number.

20120100221100 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 20120100221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32281660591488).

20120100221100 is an abundant number, since it is smaller than the sum of its proper divisors (44443220961876).

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

20120100221100 is a wasteful number, since it uses less digits than its factorization.

20120100221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154145 (or 154138 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20120100221100 its reverse (112200102102), we get a palindrome (20232300323202).

It can be divided in two parts, 201201002 and 21100, that added together give a palindrome (201222102).

The spelling of 20120100221100 in words is "twenty trillion, one hundred twenty billion, one hundred million, two hundred twenty-one thousand, one hundred".