100212209857 has 2 divisors, whose sum is σ = 100212209858. Its totient is φ = 100212209856.

The previous prime is 100212209843. The next prime is 100212209879. The reversal of 100212209857 is 758902212001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87926482576 + 12285727281 = 296524^2 + 110841^2 .

It is an emirp because it is prime and its reverse (758902212001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100212209857 - 2¹⁵ = 100212177089 is a prime.

It is not a weakly prime, because it can be changed into another prime (100212207857) 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, 50106104928 + 50106104929.

It is an arithmetic number, because the mean of its divisors is an integer number (50106104929).

Almost surely, 2^100212209857 is an apocalyptic number.

It is an amenable number.

100212209857 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212209857 is an equidigital number, since it uses as much as digits as its factorization.

100212209857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 100212209857 in words is "one hundred billion, two hundred twelve million, two hundred nine thousand, eight hundred fifty-seven".