100221311321331 has 4 divisors (see below), whose sum is σ = 133628415095112. Its totient is φ = 66814207547552.

The previous prime is 100221311321317. The next prime is 100221311321363. The reversal of 100221311321331 is 133123113122001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100221311321331 - 2⁶ = 100221311321267 is a prime.

It is a super-2 number, since 2×100221311321331² (a number of 29 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 16703551886886 + ... + 16703551886891.

It is an arithmetic number, because the mean of its divisors is an integer number (33407103773778).

Almost surely, 2^{100221311321331} is an apocalyptic number.

100221311321331 is a deficient number, since it is larger than the sum of its proper divisors (33407103773781).

100221311321331 is an equidigital number, since it uses as much as digits as its factorization.

100221311321331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33407103773780.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 100221311321331 its reverse (133123113122001), we get a palindrome (233344424443332).

The spelling of 100221311321331 in words is "one hundred trillion, two hundred twenty-one billion, three hundred eleven million, three hundred twenty-one thousand, three hundred thirty-one".