100221120221101 has 16 divisors (see below), whose sum is σ = 113002378426368. Its totient is φ = 88059038871600.

The previous prime is 100221120221093. The next prime is 100221120221171. The reversal of 100221120221101 is 101122021122001.

It is a cyclic number.

It is not a de Polignac number, because 100221120221101 - 2³ = 100221120221093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221120221171) 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 15 ways as a sum of consecutive naturals, for example, 186455635 + ... + 186992368.

It is an arithmetic number, because the mean of its divisors is an integer number (7062648651648).

Almost surely, 2^{100221120221101} is an apocalyptic number.

100221120221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100221120221101 is a deficient number, since it is larger than the sum of its proper divisors (12781258205267).

100221120221101 is a wasteful number, since it uses less digits than its factorization.

100221120221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373448832.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100221120221101 its reverse (101122021122001), we get a palindrome (201343141343102).

The spelling of 100221120221101 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twenty million, two hundred twenty-one thousand, one hundred one".