100222221001213 has 2 divisors, whose sum is σ = 100222221001214. Its totient is φ = 100222221001212.

The previous prime is 100222221001171. The next prime is 100222221001241. The reversal of 100222221001213 is 312100122222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92005754193369 + 8216466807844 = 9591963^2 + 2866438^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222221001213 - 2¹⁷ = 100222220870141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100222221001913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111110500606 + 50111110500607.

It is an arithmetic number, because the mean of its divisors is an integer number (50111110500607).

Almost surely, 2^{100222221001213} is an apocalyptic number.

It is an amenable number.

100222221001213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222221001213 is an equidigital number, since it uses as much as digits as its factorization.

100222221001213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 100222221001213 its reverse (312100122222001), we get a palindrome (412322343223214).

The spelling of 100222221001213 in words is "one hundred trillion, two hundred twenty-two billion, two hundred twenty-one million, one thousand, two hundred thirteen".