100222131321 has 12 divisors (see below), whose sum is σ = 155901093348. Its totient is φ = 61675157664.

The previous prime is 100222131283. The next prime is 100222131377. The reversal of 100222131321 is 123131222001.

It can be written as a sum of positive squares in 2 ways, for example, as 13674963600 + 86547167721 = 116940^2 + 294189^2 .

It is not a de Polignac number, because 100222131321 - 2⁷ = 100222131193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100222131294 and 100222131303.

It is not an unprimeable number, because it can be changed into a prime (100222131221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 428299590 + ... + 428299823.

It is an arithmetic number, because the mean of its divisors is an integer number (12991757779).

Almost surely, 2^100222131321 is an apocalyptic number.

It is an amenable number.

100222131321 is a deficient number, since it is larger than the sum of its proper divisors (55678962027).

100222131321 is a wasteful number, since it uses less digits than its factorization.

100222131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856599432 (or 856599429 counting only the distinct ones).

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

Adding to 100222131321 its reverse (123131222001), we get a palindrome (223353353322).

The spelling of 100222131321 in words is "one hundred billion, two hundred twenty-two million, one hundred thirty-one thousand, three hundred twenty-one".