101032112223232 has 44 divisors (see below), whose sum is σ = 213845887386180. Its totient is φ = 47544523390976.

The previous prime is 101032112223209. The next prime is 101032112223247. The reversal of 101032112223232 is 232322211230101.

It can be written as a sum of positive squares in 2 ways, for example, as 74369512498176 + 26662599725056 = 8623776^2 + 5163584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101032112223197 and 101032112223206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2901870007 + ... + 2901904822.

Almost surely, 2^{101032112223232} is an apocalyptic number.

It is an amenable number.

101032112223232 is an abundant number, since it is smaller than the sum of its proper divisors (112813775162948).

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

101032112223232 is an equidigital number, since it uses as much as digits as its factorization.

101032112223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5803774866 (or 5803774848 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 101032112223232 its reverse (232322211230101), we get a palindrome (333354323453333).

The spelling of 101032112223232 in words is "one hundred one trillion, thirty-two billion, one hundred twelve million, two hundred twenty-three thousand, two hundred thirty-two".