100221101022221 has 8 divisors (see below), whose sum is σ = 103682883301920. Its totient is φ = 96759710892208.

The previous prime is 100221101022193. The next prime is 100221101022227. The reversal of 100221101022221 is 122220101122001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100221101022221 - 2³⁰ = 100220027280397 is a prime.

It is a super-2 number, since 2×100221101022221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100221101022221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221101022227) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 97517411 + ... + 98539776.

It is an arithmetic number, because the mean of its divisors is an integer number (12960360412740).

Almost surely, 2^{100221101022221} is an apocalyptic number.

It is an amenable number.

100221101022221 is a deficient number, since it is larger than the sum of its proper divisors (3461782279699).

100221101022221 is a wasteful number, since it uses less digits than its factorization.

100221101022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196074843.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100221101022221 its reverse (122220101122001), we get a palindrome (222441202144222).

The spelling of 100221101022221 in words is "one hundred trillion, two hundred twenty-one billion, one hundred one million, twenty-two thousand, two hundred twenty-one".