100212100312033 has 2 divisors, whose sum is σ = 100212100312034. Its totient is φ = 100212100312032.

The previous prime is 100212100312031. The next prime is 100212100312039. The reversal of 100212100312033 is 330213001212001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95509027128384 + 4703073183649 = 9772872^2 + 2168657^2 .

It is an emirp because it is prime and its reverse (330213001212001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100212100312033 - 2¹ = 100212100312031 is a prime.

Together with 100212100312031, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 100212100312033.

It is not a weakly prime, because it can be changed into another prime (100212100312031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106050156016 + 50106050156017.

It is an arithmetic number, because the mean of its divisors is an integer number (50106050156017).

Almost surely, 2^{100212100312033} is an apocalyptic number.

It is an amenable number.

100212100312033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212100312033 is an equidigital number, since it uses as much as digits as its factorization.

100212100312033 is an evil number, because the sum of its binary digits is even.

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

Adding to 100212100312033 its reverse (330213001212001), we get a palindrome (430425101524034).

The spelling of 100212100312033 in words is "one hundred trillion, two hundred twelve billion, one hundred million, three hundred twelve thousand, thirty-three".