100114221 has 16 divisors (see below), whose sum is σ = 138172928. Its totient is φ = 64411200.

The previous prime is 100114219. The next prime is 100114247. The reversal of 100114221 is 122411001.

It is a happy number.

It is not a de Polignac number, because 100114221 - 2¹ = 100114219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100114197 and 100114206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100116221) 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 15 ways as a sum of consecutive naturals, for example, 37875 + ... + 40431.

It is an arithmetic number, because the mean of its divisors is an integer number (8635808).

Almost surely, 2^100114221 is an apocalyptic number.

It is an amenable number.

100114221 is a deficient number, since it is larger than the sum of its proper divisors (38058707).

100114221 is a wasteful number, since it uses less digits than its factorization.

100114221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 100114221 is about 10005.7094201261. The cubic root of 100114221 is about 464.3355384253.

Adding to 100114221 its reverse (122411001), we get a palindrome (222525222).

The spelling of 100114221 in words is "one hundred million, one hundred fourteen thousand, two hundred twenty-one".