101322120224 has 96 divisors (see below), whose sum is σ = 221410506240. Its totient is φ = 45348221952.

The previous prime is 101322120187. The next prime is 101322120241. The reversal of 101322120224 is 422021223101.

It is a junction number, because it is equal to n+sod(n) for n = 101322120196 and 101322120205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2107397 + ... + 2154939.

It is an arithmetic number, because the mean of its divisors is an integer number (2306359440).

Almost surely, 2^101322120224 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 101322120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110705253120).

101322120224 is an abundant number, since it is smaller than the sum of its proper divisors (120088386016).

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

101322120224 is a wasteful number, since it uses less digits than its factorization.

101322120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47722 (or 47714 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101322120224 its reverse (422021223101), we get a palindrome (523343343325).

The spelling of 101322120224 in words is "one hundred one billion, three hundred twenty-two million, one hundred twenty thousand, two hundred twenty-four".