102232211320224 has 144 divisors (see below), whose sum is σ = 291377736179712. Its totient is φ = 34000708621824.

The previous prime is 102232211320201. The next prime is 102232211320229. The reversal of 102232211320224 is 422023112232201.

102232211320224 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 322 + 11 + 320 + 2 + 2 + 4 = 666.

102232211320224 is digitally balanced in base 3, 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 (144).

It is not an unprimeable number, because it can be changed into a prime (102232211320229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290543182 + ... + 290894834.

It is an arithmetic number, because the mean of its divisors is an integer number (2023456501248).

Almost surely, 2^{102232211320224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102232211320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145688868089856).

102232211320224 is an abundant number, since it is smaller than the sum of its proper divisors (189145524859488).

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

102232211320224 is a wasteful number, since it uses less digits than its factorization.

102232211320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353939 (or 353928 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 102232211320224 its reverse (422023112232201), we get a palindrome (524255323552425).

The spelling of 102232211320224 in words is "one hundred two trillion, two hundred thirty-two billion, two hundred eleven million, three hundred twenty thousand, two hundred twenty-four".