100221121233 has 20 divisors (see below), whose sum is σ = 149828620260. Its totient is φ = 66762496512.

The previous prime is 100221121213. The next prime is 100221121243. The reversal of 100221121233 is 332121122001.

It can be written as a sum of positive squares in 2 ways, for example, as 75335427729 + 24885693504 = 274473^2 + 157752^2 .

It is not a de Polignac number, because 100221121233 - 2²⁰ = 100220072657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100221121213) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 371928 + ... + 582041.

It is an arithmetic number, because the mean of its divisors is an integer number (7491431013).

Almost surely, 2^100221121233 is an apocalyptic number.

It is an amenable number.

100221121233 is a deficient number, since it is larger than the sum of its proper divisors (49607499027).

100221121233 is an equidigital number, since it uses as much as digits as its factorization.

100221121233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955278 (or 955269 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100221121233 its reverse (332121122001), we get a palindrome (432342243234).

The spelling of 100221121233 in words is "one hundred billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred thirty-three".