100212222200213 has 2 divisors, whose sum is σ = 100212222200214. Its totient is φ = 100212222200212.

The previous prime is 100212222200149. The next prime is 100212222200231. The reversal of 100212222200213 is 312002222212001.

Together with next prime (100212222200231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55920827988529 + 44291394211684 = 7478023^2 + 6655178^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212222200213 - 2⁶ = 100212222200149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100212222200263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106111100106 + 50106111100107.

It is an arithmetic number, because the mean of its divisors is an integer number (50106111100107).

Almost surely, 2^{100212222200213} is an apocalyptic number.

It is an amenable number.

100212222200213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212222200213 is an equidigital number, since it uses as much as digits as its factorization.

100212222200213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100212222200213 its reverse (312002222212001), we get a palindrome (412214444412214).

The spelling of 100212222200213 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty-two million, two hundred thousand, two hundred thirteen".