100212100100213 has 2 divisors, whose sum is σ = 100212100100214. Its totient is φ = 100212100100212.

The previous prime is 100212100100173. The next prime is 100212100100221. The reversal of 100212100100213 is 312001001212001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51088500254884 + 49123599845329 = 7147622^2 + 7008823^2 .

It is an emirp because it is prime and its reverse (312001001212001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100212100100213 - 2⁶ = 100212100100149 is a prime.

It is a super-2 number, since 2×100212100100213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100212100100243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106050050106 + 50106050050107.

It is an arithmetic number, because the mean of its divisors is an integer number (50106050050107).

Almost surely, 2^{100212100100213} is an apocalyptic number.

It is an amenable number.

100212100100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212100100213 is an equidigital number, since it uses as much as digits as its factorization.

100212100100213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100212100100213 its reverse (312001001212001), we get a palindrome (412213101312214).

The spelling of 100212100100213 in words is "one hundred trillion, two hundred twelve billion, one hundred million, one hundred thousand, two hundred thirteen".