101994205824 has 768 divisors, whose sum is σ = 373333708800. Its totient is φ = 26057687040.

The previous prime is 101994205823. The next prime is 101994205829. The reversal of 101994205824 is 428502499101.

It is a happy number.

101994205824 is a `hidden beast` number, since 10 + 19 + 9 + 42 + 0 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 101994205824.

It is not an unprimeable number, because it can be changed into a prime (101994205823) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 362968564 + ... + 362968844.

It is an arithmetic number, because the mean of its divisors is an integer number (486111600).

Almost surely, 2^101994205824 is an apocalyptic number.

101994205824 is a gapful number since it is divisible by the number (14) 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 101994205824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186666854400).

101994205824 is an abundant number, since it is smaller than the sum of its proper divisors (271339502976).

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

101994205824 is a wasteful number, since it uses less digits than its factorization.

101994205824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 101994205824 in words is "one hundred one billion, nine hundred ninety-four million, two hundred five thousand, eight hundred twenty-four".