221013112032 has 96 divisors (see below), whose sum is σ = 682540538400. Its totient is φ = 69337442304.

The previous prime is 221013112003. The next prime is 221013112039. The reversal of 221013112032 is 230211310122.

221013112032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221013111996 and 221013112014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221013112039) 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, 7508907 + ... + 7538282.

It is an arithmetic number, because the mean of its divisors is an integer number (7109797275).

Almost surely, 2^221013112032 is an apocalyptic number.

It is an amenable number.

221013112032 is an abundant number, since it is smaller than the sum of its proper divisors (461527426368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221013112032 is a wasteful number, since it uses less digits than its factorization.

221013112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15047225 (or 15047211 counting only the distinct ones).

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

Adding to 221013112032 its reverse (230211310122), we get a palindrome (451224422154).

The spelling of 221013112032 in words is "two hundred twenty-one billion, thirteen million, one hundred twelve thousand, thirty-two".