100212111103813 has 2 divisors, whose sum is σ = 100212111103814. Its totient is φ = 100212111103812.

The previous prime is 100212111103807. The next prime is 100212111103823. The reversal of 100212111103813 is 318301111212001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100097283648769 + 114827455044 = 10004863^2 + 338862^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212111103813 - 2⁵ = 100212111103781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100212111103823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106055551906 + 50106055551907.

It is an arithmetic number, because the mean of its divisors is an integer number (50106055551907).

Almost surely, 2^{100212111103813} is an apocalyptic number.

It is an amenable number.

100212111103813 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212111103813 is an equidigital number, since it uses as much as digits as its factorization.

100212111103813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

Adding to 100212111103813 its reverse (318301111212001), we get a palindrome (418513222315814).

The spelling of 100212111103813 in words is "one hundred trillion, two hundred twelve billion, one hundred eleven million, one hundred three thousand, eight hundred thirteen".