10099871220960 has 480 divisors, whose sum is σ = 36587445691104. Its totient is φ = 2622896640000.

The previous prime is 10099871220953. The next prime is 10099871221009. The reversal of 10099871220960 is 6902217899001.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-4 number, since 4×10099871220960⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 10099871220897 and 10099871220906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79783315 + ... + 79909805.

Almost surely, 2^{10099871220960} is an apocalyptic number.

10099871220960 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 10099871220960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18293722845552).

10099871220960 is an abundant number, since it is smaller than the sum of its proper divisors (26487574470144).

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

10099871220960 is a wasteful number, since it uses less digits than its factorization.

10099871220960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126680 (or 126663 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 10099871220960 in words is "ten trillion, ninety-nine billion, eight hundred seventy-one million, two hundred twenty thousand, nine hundred sixty".