101321223032224 has 72 divisors (see below), whose sum is σ = 228706740179820. Its totient is φ = 44012838924288.

The previous prime is 101321223032219. The next prime is 101321223032243. The reversal of 101321223032224 is 422230322123101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10277794810000 + 91043428222224 = 3205900^2 + 9541668^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101321223032192 and 101321223032201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 550950219 + ... + 551134090.

Almost surely, 2^{101321223032224} is an apocalyptic number.

It is an amenable number.

101321223032224 is an abundant number, since it is smaller than the sum of its proper divisors (127385517147596).

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

101321223032224 is a wasteful number, since it uses less digits than its factorization.

101321223032224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102084362 (or 1102084341 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 101321223032224 its reverse (422230322123101), we get a palindrome (523551545155325).

The spelling of 101321223032224 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twenty-three million, thirty-two thousand, two hundred twenty-four".