100221012221221 has 16 divisors (see below), whose sum is σ = 103156715870208. Its totient is φ = 97313210568000.

The previous prime is 100221012221111. The next prime is 100221012221261. The reversal of 100221012221221 is 122122210122001.

It is a cyclic number.

It is not a de Polignac number, because 100221012221221 - 2⁷ = 100221012221093 is a prime.

It is a super-2 number, since 2×100221012221221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221012221261) 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, 18516771 + ... + 23309071.

It is an arithmetic number, because the mean of its divisors is an integer number (6447294741888).

Almost surely, 2^{100221012221221} is an apocalyptic number.

It is an amenable number.

100221012221221 is a deficient number, since it is larger than the sum of its proper divisors (2935703648987).

100221012221221 is a wasteful number, since it uses less digits than its factorization.

100221012221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795212.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 100221012221221 its reverse (122122210122001), we get a palindrome (222343222343222).

The spelling of 100221012221221 in words is "one hundred trillion, two hundred twenty-one billion, twelve million, two hundred twenty-one thousand, two hundred twenty-one".