100121323221 has 6 divisors (see below), whose sum is σ = 144619689110. Its totient is φ = 66747548808.

The previous prime is 100121323147. The next prime is 100121323223. The reversal of 100121323221 is 122323121001.

100121323221 is a `hidden beast` number, since 1 + 0 + 0 + 121 + 323 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78369203025 + 21752120196 = 279945^2 + 147486^2 .

It is not a de Polignac number, because 100121323221 - 2¹¹ = 100121321173 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100121323194 and 100121323203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121323223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5562295726 + ... + 5562295743.

Almost surely, 2^100121323221 is an apocalyptic number.

It is an amenable number.

100121323221 is a deficient number, since it is larger than the sum of its proper divisors (44498365889).

100121323221 is a wasteful number, since it uses less digits than its factorization.

100121323221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11124591475 (or 11124591472 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100121323221 its reverse (122323121001), we get a palindrome (222444444222).

The spelling of 100121323221 in words is "one hundred billion, one hundred twenty-one million, three hundred twenty-three thousand, two hundred twenty-one".