100221123213 has 48 divisors (see below), whose sum is σ = 155990016000. Its totient is φ = 61774410240.

The previous prime is 100221123173. The next prime is 100221123241. The reversal of 100221123213 is 312321122001.

It is not a de Polignac number, because 100221123213 - 2¹³ = 100221115021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221123283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7823988 + ... + 7836786.

It is an arithmetic number, because the mean of its divisors is an integer number (3249792000).

Almost surely, 2^100221123213 is an apocalyptic number.

It is an amenable number.

100221123213 is a deficient number, since it is larger than the sum of its proper divisors (55768892787).

100221123213 is a wasteful number, since it uses less digits than its factorization.

100221123213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13722 (or 13719 counting only the distinct ones).

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

Adding to 100221123213 its reverse (312321122001), we get a palindrome (412542245214).

The spelling of 100221123213 in words is "one hundred billion, two hundred twenty-one million, one hundred twenty-three thousand, two hundred thirteen".