101244306366 has 288 divisors, whose sum is σ = 271045232640. Its totient is φ = 27199468800.

The previous prime is 101244306353. The next prime is 101244306389. The reversal of 101244306366 is 663603442101.

101244306366 is a `hidden beast` number, since 1 + 0 + 12 + 4 + 4 + 3 + 0 + 636 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 101244306366.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 120672175 + ... + 120673013.

It is an arithmetic number, because the mean of its divisors is an integer number (941129280).

Almost surely, 2^101244306366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101244306366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135522616320).

101244306366 is an abundant number, since it is smaller than the sum of its proper divisors (169800926274).

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

101244306366 is a wasteful number, since it uses less digits than its factorization.

101244306366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 101244306366 its reverse (663603442101), we get a palindrome (764847748467).

The spelling of 101244306366 in words is "one hundred one billion, two hundred forty-four million, three hundred six thousand, three hundred sixty-six".