100333102221 has 16 divisors (see below), whose sum is σ = 162154509120. Its totient is φ = 60807940560.

The previous prime is 100333102201. The next prime is 100333102271. The reversal of 100333102221 is 122201333001.

100333102221 is a `hidden beast` number, since 10 + 0 + 333 + 102 + 221 = 666.

It is not a de Polignac number, because 100333102221 - 2¹⁵ = 100333069453 is a prime.

It is a super-3 number, since 3×100333102221³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100333102194 and 100333102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100333102201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168910650 + ... + 168911243.

It is an arithmetic number, because the mean of its divisors is an integer number (10134656820).

Almost surely, 2^100333102221 is an apocalyptic number.

100333102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100333102221 is a deficient number, since it is larger than the sum of its proper divisors (61821406899).

100333102221 is a wasteful number, since it uses less digits than its factorization.

100333102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337821913 (or 337821907 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100333102221 its reverse (122201333001), we get a palindrome (222534435222).

The spelling of 100333102221 in words is "one hundred billion, three hundred thirty-three million, one hundred two thousand, two hundred twenty-one".