100213123321 has 2 divisors, whose sum is σ = 100213123322. Its totient is φ = 100213123320.

The previous prime is 100213123273. The next prime is 100213123327. The reversal of 100213123321 is 123321312001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99061267600 + 1151855721 = 314740^2 + 33939^2 .

It is a cyclic number.

It is not a de Polignac number, because 100213123321 - 2²¹ = 100211026169 is a prime.

It is a super-3 number, since 3×100213123321³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100213123327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106561660 + 50106561661.

It is an arithmetic number, because the mean of its divisors is an integer number (50106561661).

Almost surely, 2^100213123321 is an apocalyptic number.

It is an amenable number.

100213123321 is a deficient number, since it is larger than the sum of its proper divisors (1).

100213123321 is an equidigital number, since it uses as much as digits as its factorization.

100213123321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100213123321 its reverse (123321312001), we get a palindrome (223534435322).

The spelling of 100213123321 in words is "one hundred billion, two hundred thirteen million, one hundred twenty-three thousand, three hundred twenty-one".