100321202213 has 8 divisors (see below), whose sum is σ = 106997798232. Its totient is φ = 93730756096.

The previous prime is 100321202183. The next prime is 100321202227. The reversal of 100321202213 is 312202123001.

It can be written as a sum of positive squares in 4 ways, for example, as 12680336449 + 87640865764 = 112607^2 + 296042^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100321202213 - 2³² = 96026234917 is a prime.

It is a super-2 number, since 2×100321202213² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100321202191 and 100321202200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100321207213) 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 7 ways as a sum of consecutive naturals, for example, 21535070 + ... + 21539727.

It is an arithmetic number, because the mean of its divisors is an integer number (13374724779).

Almost surely, 2^100321202213 is an apocalyptic number.

It is an amenable number.

100321202213 is a deficient number, since it is larger than the sum of its proper divisors (6676596019).

100321202213 is a wasteful number, since it uses less digits than its factorization.

100321202213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43074951.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100321202213 its reverse (312202123001), we get a palindrome (412523325214).

The spelling of 100321202213 in words is "one hundred billion, three hundred twenty-one million, two hundred two thousand, two hundred thirteen".