100110221121 has 8 divisors (see below), whose sum is σ = 133566808000. Its totient is φ = 66696890832.

The previous prime is 100110221119. The next prime is 100110221149. The reversal of 100110221121 is 121122011001.

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

It is not a de Polignac number, because 100110221121 - 2¹ = 100110221119 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100110221097 and 100110221106.

It is not an unprimeable number, because it can be changed into a prime (100110221021) 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, 10808746 + ... + 10818003.

It is an arithmetic number, because the mean of its divisors is an integer number (16695851000).

Almost surely, 2^100110221121 is an apocalyptic number.

It is an amenable number.

100110221121 is a deficient number, since it is larger than the sum of its proper divisors (33456586879).

100110221121 is a wasteful number, since it uses less digits than its factorization.

100110221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21628295.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100110221121 its reverse (121122011001), we get a palindrome (221232232122).

The spelling of 100110221121 in words is "one hundred billion, one hundred ten million, two hundred twenty-one thousand, one hundred twenty-one".