221102013 has 32 divisors (see below), whose sum is σ = 346447872. Its totient is φ = 124027200.

The previous prime is 221101981. The next prime is 221102027. The reversal of 221102013 is 310201122.

It is not a de Polignac number, because 221102013 - 2⁵ = 221101981 is a prime.

It is a super-2 number, since 2×221102013² = 97772200305304338, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 221102013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221102083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18831 + ... + 28227.

It is an arithmetic number, because the mean of its divisors is an integer number (10826496).

Almost surely, 2^221102013 is an apocalyptic number.

221102013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

221102013 is a deficient number, since it is larger than the sum of its proper divisors (125345859).

221102013 is a wasteful number, since it uses less digits than its factorization.

221102013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9465.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 221102013 is about 14869.4994199536. The cubic root of 221102013 is about 604.6873716630.

Adding to 221102013 its reverse (310201122), we get a palindrome (531303135).

The spelling of 221102013 in words is "two hundred twenty-one million, one hundred two thousand, thirteen".