101302300224 has 42 divisors (see below), whose sum is σ = 290364754550. Its totient is φ = 33767433216.

The previous prime is 101302300219. The next prime is 101302300237. The reversal of 101302300224 is 422003203101.

101302300224 is a `hidden beast` number, since 10 + 130 + 2 + 300 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80978946624 + 20323353600 = 284568^2 + 142560^2 .

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 = 101302300197 and 101302300206.

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 5 ways as a sum of consecutive naturals, for example, 87935449 + ... + 87936600.

Almost surely, 2^101302300224 is an apocalyptic number.

It is an amenable number.

101302300224 is an abundant number, since it is smaller than the sum of its proper divisors (189062454326).

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

101302300224 is a wasteful number, since it uses less digits than its factorization.

101302300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175872067 (or 175872054 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 101302300224 its reverse (422003203101), we get a palindrome (523305503325).

The spelling of 101302300224 in words is "one hundred one billion, three hundred two million, three hundred thousand, two hundred twenty-four".