100131223221 has 24 divisors (see below), whose sum is σ = 150889013184. Its totient is φ = 66354396480.

The previous prime is 100131223211. The next prime is 100131223253. The reversal of 100131223221 is 122322131001.

100131223221 is a `hidden beast` number, since 100 + 1 + 312 + 232 + 21 = 666.

It is not a de Polignac number, because 100131223221 - 2²⁶ = 100064114357 is a prime.

It is a super-2 number, since 2×100131223221² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100131223194 and 100131223203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131223211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1193140 + ... + 1274301.

It is an arithmetic number, because the mean of its divisors is an integer number (6287042216).

Almost surely, 2^100131223221 is an apocalyptic number.

It is an amenable number.

100131223221 is a deficient number, since it is larger than the sum of its proper divisors (50757789963).

100131223221 is an equidigital number, since it uses as much as digits as its factorization.

100131223221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467623 (or 2467611 counting only the distinct ones).

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

Adding to 100131223221 its reverse (122322131001), we get a palindrome (222453354222).

The spelling of 100131223221 in words is "one hundred billion, one hundred thirty-one million, two hundred twenty-three thousand, two hundred twenty-one".