100221201221220 has 72 divisors (see below), whose sum is σ = 304638975164160. Its totient is φ = 26669858952000.

The previous prime is 100221201221201. The next prime is 100221201221237. The reversal of 100221201221220 is 22122102122001.

It is a happy number.

100221201221220 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 21 + 201 + 221 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100221201221193 and 100221201221202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581108406 + ... + 581280845.

It is an arithmetic number, because the mean of its divisors is an integer number (4231096877280).

Almost surely, 2^{100221201221220} is an apocalyptic number.

100221201221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221201221220 is an abundant number, since it is smaller than the sum of its proper divisors (204417773942940).

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

100221201221220 is a wasteful number, since it uses less digits than its factorization.

100221201221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162389745 (or 1162389740 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100221201221220 its reverse (22122102122001), we get a palindrome (122343303343221).

The spelling of 100221201221220 in words is "one hundred trillion, two hundred twenty-one billion, two hundred one million, two hundred twenty-one thousand, two hundred twenty".