100221322240131 has 16 divisors (see below), whose sum is σ = 133772758640640. Its totient is φ = 66742052802080.

The previous prime is 100221322240097. The next prime is 100221322240181. The reversal of 100221322240131 is 131042223122001.

It is a cyclic number.

It is not a de Polignac number, because 100221322240131 - 2¹¹ = 100221322238083 is a prime.

It is a super-2 number, since 2×100221322240131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100221322240181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181296556 + ... + 181848518.

It is an arithmetic number, because the mean of its divisors is an integer number (8360797415040).

Almost surely, 2^{100221322240131} is an apocalyptic number.

100221322240131 is a deficient number, since it is larger than the sum of its proper divisors (33551436400509).

100221322240131 is an equidigital number, since it uses as much as digits as its factorization.

100221322240131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617226.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 100221322240131 its reverse (131042223122001), we get a palindrome (231263545362132).

The spelling of 100221322240131 in words is "one hundred trillion, two hundred twenty-one billion, three hundred twenty-two million, two hundred forty thousand, one hundred thirty-one".