100220313333321 has 6 divisors (see below), whose sum is σ = 144762674814810. Its totient is φ = 66813542222208.

The previous prime is 100220313333253. The next prime is 100220313333337. The reversal of 100220313333321 is 123333313022001.

100220313333321 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 0 + 3 + 1 + 3 + 333 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96150007083321 + 4070306250000 = 9805611^2 + 2017500^2 .

It is not a de Polignac number, because 100220313333321 - 2⁷ = 100220313333193 is a prime.

It is a super-2 number, since 2×100220313333321² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100220313233321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5567795185176 + ... + 5567795185193.

It is an arithmetic number, because the mean of its divisors is an integer number (24127112469135).

Almost surely, 2^{100220313333321} is an apocalyptic number.

It is an amenable number.

100220313333321 is a deficient number, since it is larger than the sum of its proper divisors (44542361481489).

100220313333321 is a wasteful number, since it uses less digits than its factorization.

100220313333321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11135590370375 (or 11135590370372 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 100220313333321 its reverse (123333313022001), we get a palindrome (223553626355322).

The spelling of 100220313333321 in words is "one hundred trillion, two hundred twenty billion, three hundred thirteen million, three hundred thirty-three thousand, three hundred twenty-one".