101979403745472 has 1680 divisors, whose sum is σ = 361081560913920. Its totient is φ = 28326165626880.

The previous prime is 101979403745437. The next prime is 101979403745491. The reversal of 101979403745472 is 274547304979101.

It is a happy number.

101979403745472 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 7 + 94 + 0 + 3 + 74 + 5 + 472 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 141835053529 + ... + 141835054247.

It is an arithmetic number, because the mean of its divisors is an integer number (214929500544).

Almost surely, 2^{101979403745472} is an apocalyptic number.

101979403745472 is a gapful number since it is divisible by the number (12) 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 101979403745472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180540780456960).

101979403745472 is an abundant number, since it is smaller than the sum of its proper divisors (259102157168448).

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

101979403745472 is a wasteful number, since it uses less digits than its factorization.

101979403745472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 101979403745472 in words is "one hundred one trillion, nine hundred seventy-nine billion, four hundred three million, seven hundred forty-five thousand, four hundred seventy-two".