100011100221221 has 8 divisors (see below), whose sum is σ = 114298567208640. Its totient is φ = 85723674972768.

The previous prime is 100011100221211. The next prime is 100011100221223. The reversal of 100011100221221 is 122122001110001.

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

It is not a de Polignac number, because 100011100221221 - 2¹⁰ = 100011100220197 is a prime.

It is a super-2 number, since 2×100011100221221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100011100221196 and 100011100221205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011100221223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5119736 + ... + 15041073.

It is an arithmetic number, because the mean of its divisors is an integer number (14287320901080).

Almost surely, 2^{100011100221221} is an apocalyptic number.

It is an amenable number.

100011100221221 is a deficient number, since it is larger than the sum of its proper divisors (14287466987419).

100011100221221 is an equidigital number, since it uses as much as digits as its factorization.

100011100221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20869483.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100011100221221 its reverse (122122001110001), we get a palindrome (222133101331222).

The spelling of 100011100221221 in words is "one hundred trillion, eleven billion, one hundred million, two hundred twenty-one thousand, two hundred twenty-one".