100221311321316 has 96 divisors (see below), whose sum is σ = 261025806343680. Its totient is φ = 33254074819872.

The previous prime is 100221311321311. The next prime is 100221311321317. The reversal of 100221311321316 is 613123113122001.

100221311321316 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 1 + 311 + 32 + 1 + 316 = 666.

It is a super-2 number, since 2×100221311321316² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 100221311321316.

It is not an unprimeable number, because it can be changed into a prime (100221311321311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19720491 + ... + 24276333.

It is an arithmetic number, because the mean of its divisors is an integer number (2719018816080).

Almost surely, 2^{100221311321316} is an apocalyptic number.

It is an amenable number.

100221311321316 is an abundant number, since it is smaller than the sum of its proper divisors (160804495022364).

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

100221311321316 is a wasteful number, since it uses less digits than its factorization.

100221311321316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4556790 (or 4556782 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 100221311321316 its reverse (613123113122001), we get a palindrome (713344424443317).

The spelling of 100221311321316 in words is "one hundred trillion, two hundred twenty-one billion, three hundred eleven million, three hundred twenty-one thousand, three hundred sixteen".