100221312133 has 4 divisors (see below), whose sum is σ = 100257249420. Its totient is φ = 100185374848.

The previous prime is 100221312101. The next prime is 100221312137. The reversal of 100221312133 is 331213122001.

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

It can be written as a sum of positive squares in 2 ways, for example, as 79198342084 + 21022970049 = 281422^2 + 144993^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221312133 - 2⁵ = 100221312101 is a prime.

It is a super-2 number, since 2×100221312133² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100221312133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221312137) 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, 17964460 + ... + 17970037.

It is an arithmetic number, because the mean of its divisors is an integer number (25064312355).

Almost surely, 2^100221312133 is an apocalyptic number.

It is an amenable number.

100221312133 is a deficient number, since it is larger than the sum of its proper divisors (35937287).

100221312133 is an equidigital number, since it uses as much as digits as its factorization.

100221312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35937286.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100221312133 its reverse (331213122001), we get a palindrome (431434434134).

The spelling of 100221312133 in words is "one hundred billion, two hundred twenty-one million, three hundred twelve thousand, one hundred thirty-three".