100212001200121 has 2 divisors, whose sum is σ = 100212001200122. Its totient is φ = 100212001200120.

The previous prime is 100212001200109. The next prime is 100212001200151. The reversal of 100212001200121 is 121002100212001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64170289124496 + 36041712075625 = 8010636^2 + 6003475^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212001200121 - 2⁷ = 100212001199993 is a prime.

It is not a weakly prime, because it can be changed into another prime (100212001200151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106000600060 + 50106000600061.

It is an arithmetic number, because the mean of its divisors is an integer number (50106000600061).

Almost surely, 2^{100212001200121} is an apocalyptic number.

It is an amenable number.

100212001200121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212001200121 is an equidigital number, since it uses as much as digits as its factorization.

100212001200121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100212001200121 its reverse (121002100212001), we get a palindrome (221214101412122).

The spelling of 100212001200121 in words is "one hundred trillion, two hundred twelve billion, one million, two hundred thousand, one hundred twenty-one".