221100113 has 8 divisors (see below), whose sum is σ = 252114408. Its totient is φ = 192086784.

The previous prime is 221100107. The next prime is 221100133. The reversal of 221100113 is 311001122.

221100113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 369664 + 220730449 = 608^2 + 14857^2 .

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 221100113 - 2¹² = 221096017 is a prime.

It is a super-2 number, since 2×221100113² = 97770519937225538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221100094 and 221100103.

It is not an unprimeable number, because it can be changed into a prime (221100133) 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, 500006 + ... + 500447.

It is an arithmetic number, because the mean of its divisors is an integer number (31514301).

Almost surely, 2^221100113 is an apocalyptic number.

It is an amenable number.

221100113 is a deficient number, since it is larger than the sum of its proper divisors (31014295).

221100113 is a wasteful number, since it uses less digits than its factorization.

221100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000483.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 221100113 is about 14869.4355306447. The cubic root of 221100113 is about 604.6856395677.

Adding to 221100113 its reverse (311001122), we get a palindrome (532101235).

The spelling of 221100113 in words is "two hundred twenty-one million, one hundred thousand, one hundred thirteen".