101244540360600 has 864 divisors, whose sum is σ = 426147991345440. Its totient is φ = 21351568896000.

The previous prime is 101244540360553. The next prime is 101244540360671. The reversal of 101244540360600 is 6063045442101.

101244540360600 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 4 + 4 + 5 + 40 + 3 + 6 + 0 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 215 ways as a sum of consecutive naturals, for example, 2615375245 + ... + 2615413955.

It is an arithmetic number, because the mean of its divisors is an integer number (493226841835).

Almost surely, 2^{101244540360600} is an apocalyptic number.

101244540360600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101244540360600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213073995672720).

101244540360600 is an abundant number, since it is smaller than the sum of its proper divisors (324903450984840).

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

101244540360600 is a wasteful number, since it uses less digits than its factorization.

101244540360600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41041 (or 41022 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 101244540360600 in words is "one hundred one trillion, two hundred forty-four billion, five hundred forty million, three hundred sixty thousand, six hundred".