100311223221 has 12 divisors (see below), whose sum is σ = 158066170080. Its totient is φ = 60794680680.

The previous prime is 100311223189. The next prime is 100311223231. The reversal of 100311223221 is 122322113001.

100311223221 is a `hidden beast` number, since 10 + 0 + 311 + 22 + 322 + 1 = 666.

It is not a de Polignac number, because 100311223221 - 2⁵ = 100311223189 is a prime.

It is a super-2 number, since 2×100311223221² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100311223194 and 100311223203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100311223231) 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, 506622241 + ... + 506622438.

It is an arithmetic number, because the mean of its divisors is an integer number (13172180840).

Almost surely, 2^100311223221 is an apocalyptic number.

100311223221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100311223221 is a deficient number, since it is larger than the sum of its proper divisors (57754946859).

100311223221 is a wasteful number, since it uses less digits than its factorization.

100311223221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013244696 (or 1013244693 counting only the distinct ones).

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

Adding to 100311223221 its reverse (122322113001), we get a palindrome (222633336222).

The spelling of 100311223221 in words is "one hundred billion, three hundred eleven million, two hundred twenty-three thousand, two hundred twenty-one".