100221311321330 has 16 divisors (see below), whose sum is σ = 181333066912344. Its totient is φ = 39880811965440.

The previous prime is 100221311321317. The next prime is 100221311321363. The reversal of 100221311321330 is 33123113122001.

It can be written as a sum of positive squares in 4 ways, for example, as 93877476743521 + 6343834577809 = 9689039^2 + 2518697^2 .

It is a super-2 number, since 2×100221311321330² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100221311321296 and 100221311321305.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25964068361 + ... + 25964072220.

Almost surely, 2^{100221311321330} is an apocalyptic number.

100221311321330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100221311321330 is a deficient number, since it is larger than the sum of its proper divisors (81111755591014).

100221311321330 is a wasteful number, since it uses less digits than its factorization.

100221311321330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51928140781.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 100221311321330 its reverse (33123113122001), we get a palindrome (133344424443331).

The spelling of 100221311321330 in words is "one hundred trillion, two hundred twenty-one billion, three hundred eleven million, three hundred twenty-one thousand, three hundred thirty".