4221100113 has 16 divisors (see below), whose sum is σ = 5704427520. Its totient is φ = 2775983184.

The previous prime is 4221100111. The next prime is 4221100141. The reversal of 4221100113 is 3110011224.

4221100113 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4221100113 - 2¹ = 4221100111 is a prime.

It is a super-2 number, since 2×4221100113² = 35635372327937225538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4221100092 and 4221100101.

It is not an unprimeable number, because it can be changed into a prime (4221100111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282570 + ... + 297132.

It is an arithmetic number, because the mean of its divisors is an integer number (356526720).

Almost surely, 2^4221100113 is an apocalyptic number.

It is an amenable number.

4221100113 is a deficient number, since it is larger than the sum of its proper divisors (1483327407).

4221100113 is a wasteful number, since it uses less digits than its factorization.

4221100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15868.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 4221100113 is about 64969.9939433582. The cubic root of 4221100113 is about 1616.1260012332.

Adding to 4221100113 its reverse (3110011224), we get a palindrome (7331111337).

Subtracting from 4221100113 its reverse (3110011224), we obtain a square (1111088889 = 33333²).

The spelling of 4221100113 in words is "four billion, two hundred twenty-one million, one hundred thousand, one hundred thirteen".