100212300113 has 2 divisors, whose sum is σ = 100212300114. Its totient is φ = 100212300112.

The previous prime is 100212300103. The next prime is 100212300131. The reversal of 100212300113 is 311003212001.

Together with next prime (100212300131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56695419664 + 43516880449 = 238108^2 + 208607^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212300113 - 2⁶ = 100212300049 is a prime.

It is not a weakly prime, because it can be changed into another prime (100212300103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106150056 + 50106150057.

It is an arithmetic number, because the mean of its divisors is an integer number (50106150057).

Almost surely, 2^100212300113 is an apocalyptic number.

It is an amenable number.

100212300113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212300113 is an equidigital number, since it uses as much as digits as its factorization.

100212300113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100212300113 its reverse (311003212001), we get a palindrome (411215512114).

The spelling of 100212300113 in words is "one hundred billion, two hundred twelve million, three hundred thousand, one hundred thirteen".