101479822997280 has 1536 divisors, whose sum is σ = 413304922275840. Its totient is φ = 20362659102720.

The previous prime is 101479822997167. The next prime is 101479822997281. The reversal of 101479822997280 is 82799228974101.

It is not an unprimeable number, because it can be changed into a prime (101479822997281) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 11638924761 + ... + 11638933479.

It is an arithmetic number, because the mean of its divisors is an integer number (269078725440).

Almost surely, 2^{101479822997280} is an apocalyptic number.

101479822997280 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 101479822997280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206652461137920).

101479822997280 is an abundant number, since it is smaller than the sum of its proper divisors (311825099278560).

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

101479822997280 is a wasteful number, since it uses less digits than its factorization.

101479822997280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8962 (or 8954 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 69.

The spelling of 101479822997280 in words is "one hundred one trillion, four hundred seventy-nine billion, eight hundred twenty-two million, nine hundred ninety-seven thousand, two hundred eighty".