100131101221 has 16 divisors (see below), whose sum is σ = 107991797760. Its totient is φ = 92530321920.

The previous prime is 100131101207. The next prime is 100131101227. The reversal of 100131101221 is 122101131001.

It is a happy number.

It is not a de Polignac number, because 100131101221 - 2⁷ = 100131101093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131101227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6572605 + ... + 6587821.

It is an arithmetic number, because the mean of its divisors is an integer number (6749487360).

Almost surely, 2^100131101221 is an apocalyptic number.

It is an amenable number.

100131101221 is a deficient number, since it is larger than the sum of its proper divisors (7860696539).

100131101221 is a wasteful number, since it uses less digits than its factorization.

100131101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23724.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100131101221 its reverse (122101131001), we get a palindrome (222232232222).

The spelling of 100131101221 in words is "one hundred billion, one hundred thirty-one million, one hundred one thousand, two hundred twenty-one".