100216080160 has 192 divisors, whose sum is σ = 277609731840. Its totient is φ = 33478225920.

The previous prime is 100216080143. The next prime is 100216080193. The reversal of 100216080160 is 61080612001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7303386 + ... + 7317094.

It is an arithmetic number, because the mean of its divisors is an integer number (1445884020).

Almost surely, 2^100216080160 is an apocalyptic number.

100216080160 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 100216080160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138804865920).

100216080160 is an abundant number, since it is smaller than the sum of its proper divisors (177393651680).

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

100216080160 is a wasteful number, since it uses less digits than its factorization.

100216080160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13899 (or 13891 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 100216080160 its reverse (61080612001), we get a palindrome (161296692161).

The spelling of 100216080160 in words is "one hundred billion, two hundred sixteen million, eighty thousand, one hundred sixty".