1220221200100 has 144 divisors (see below), whose sum is σ = 3073176804096. Its totient is φ = 411909120000.

The previous prime is 1220221200089. The next prime is 1220221200199. The reversal of 1220221200100 is 10021220221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11893020 + ... + 11995180.

It is an arithmetic number, because the mean of its divisors is an integer number (21341505584).

Almost surely, 2^{1220221200100} is an apocalyptic number.

1220221200100 is a gapful number since it is divisible by the number (10) 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 1220221200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536588402048).

1220221200100 is an abundant number, since it is smaller than the sum of its proper divisors (1852955603996).

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

1220221200100 is a wasteful number, since it uses less digits than its factorization.

1220221200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102446 (or 102439 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1220221200100 its reverse (10021220221), we get a palindrome (1230242420321).

The spelling of 1220221200100 in words is "one trillion, two hundred twenty billion, two hundred twenty-one million, two hundred thousand, one hundred".