100221311321332 has 12 divisors (see below), whose sum is σ = 185704194507300. Its totient is φ = 47162970033536.

The previous prime is 100221311321317. The next prime is 100221311321363. The reversal of 100221311321332 is 233123113122001.

It can be written as a sum of positive squares in 2 ways, for example, as 64066513272336 + 36154798048996 = 8004156^2 + 6012886^2 .

It is a super-2 number, since 2×100221311321332² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100221311321297 and 100221311321306.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 736921406707 + ... + 736921406842.

It is an arithmetic number, because the mean of its divisors is an integer number (15475349542275).

Almost surely, 2^{100221311321332} is an apocalyptic number.

It is an amenable number.

100221311321332 is a deficient number, since it is larger than the sum of its proper divisors (85482883185968).

100221311321332 is a wasteful number, since it uses less digits than its factorization.

100221311321332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473842813570 (or 1473842813568 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 100221311321332 its reverse (233123113122001), we get a palindrome (333344424443333).

The spelling of 100221311321332 in words is "one hundred trillion, two hundred twenty-one billion, three hundred eleven million, three hundred twenty-one thousand, three hundred thirty-two".