101299844056320 has 2880 divisors, whose sum is σ = 453045389422080. Its totient is φ = 21255070187520.

The previous prime is 101299844056309. The next prime is 101299844056337. The reversal of 101299844056320 is 23650448992101.

It is a happy number.

101299844056320 is a `hidden beast` number, since 1 + 0 + 12 + 9 + 9 + 8 + 4 + 40 + 563 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 559667646630 + ... + 559667646810.

Almost surely, 2^{101299844056320} is an apocalyptic number.

101299844056320 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 101299844056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226522694711040).

101299844056320 is an abundant number, since it is smaller than the sum of its proper divisors (351745545365760).

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

101299844056320 is an frugal number, since it uses more digits than its factorization.

101299844056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 101299844056320 in words is "one hundred one trillion, two hundred ninety-nine billion, eight hundred forty-four million, fifty-six thousand, three hundred twenty".